pacman::p_load(tmap, sf, sp,
performance, reshape2,
ggpubr, tidyverse,
DT, stplanr)Spatial Interaction Models
In this hands-on exercise, we apply functions for modeling spatial interaction using R. We cover both the processing and visualizing of flow data and the calibration of spatial interaction models in this exercise.
This exercise is based on Chapters 15 and 16 of Dr Kam’s online book which can be accessed here.
Getting Started
Data Sources
For this exercise, we will be using the following two sources:
Passenger volume by origin and destination bus stops from the LTA Data Mall
Bus stop locations based on data from the last quarter of 2022
URA Masterplan 2019 Planning Subzone boundary which is already converted into sf dataframe format and saved in an rds file
Installing and launching R packages
This exercise will make use of nine R packages.
sf - for importing and processing geospatial data
tidyverse - for data importing and wrangling
tmap - for creating thematic maps
stplanr - for solving common problems in transport planning
DT - provides an R interface for JavaScript linrary DataTables
The code chunk below uses p_load() of pacman package to check if the packages are installed in the computer. It installs them first if they are not. It then loads them into R.
Processing and Visualizing Flow Data
The first part of the exercise is building an OD matrix based on the first datasource.
Preparing the Flow Data
Importing the OD Data
We first load the passenger volume data by using read_csv() of readr package.
odbus <- read_csv("data/aspatial/origin_destination_bus_202210.csv")Rows: 5122925 Columns: 7
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (3): YEAR_MONTH, DAY_TYPE, PT_TYPE
dbl (4): TIME_PER_HOUR, ORIGIN_PT_CODE, DESTINATION_PT_CODE, TOTAL_TRIPS
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.We can use glimpse() to inspect the contents of the odbus object.
glimpse(odbus)Rows: 5,122,925
Columns: 7
$ YEAR_MONTH <chr> "2022-10", "2022-10", "2022-10", "2022-10", "2022-…
$ DAY_TYPE <chr> "WEEKDAY", "WEEKENDS/HOLIDAY", "WEEKENDS/HOLIDAY",…
$ TIME_PER_HOUR <dbl> 10, 10, 7, 11, 16, 16, 20, 7, 7, 11, 11, 8, 11, 11…
$ PT_TYPE <chr> "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "BUS", "…
$ ORIGIN_PT_CODE <dbl> 65239, 65239, 23519, 52509, 54349, 54349, 43371, 8…
$ DESTINATION_PT_CODE <dbl> 65159, 65159, 23311, 42041, 53241, 53241, 14139, 9…
$ TOTAL_TRIPS <dbl> 2, 1, 2, 1, 1, 4, 1, 3, 1, 5, 2, 5, 15, 40, 1, 1, …The origin and destination codes are imported as numeric data type. We use the following code chunk to convert them into characters or categorical type.
odbus$ORIGIN_PT_CODE <- as.factor(odbus$ORIGIN_PT_CODE)
odbus$DESTINATION_PT_CODE <- as.factor(odbus$DESTINATION_PT_CODE) Extracting the study data
For this study, we focus on the activity on weekdays between 6pm and 9pm. The code chunk below extracts the relevant data based on that.
odbus6_9 <- odbus %>%
filter(DAY_TYPE == "WEEKDAY") %>%
filter(TIME_PER_HOUR >= 6 &
TIME_PER_HOUR <= 9) %>%
group_by(ORIGIN_PT_CODE,
DESTINATION_PT_CODE) %>%
summarise(TRIPS = sum(TOTAL_TRIPS))`summarise()` has grouped output by 'ORIGIN_PT_CODE'. You can override using
the `.groups` argument.We can display the contents as a table using the following code which uses the DT package.
datatable(odbus6_9)Warning in instance$preRenderHook(instance): It seems your data is too big for
client-side DataTables. You may consider server-side processing:
https://rstudio.github.io/DT/server.htmlWe can save the output for future use using the code chunk below
write_rds(odbus6_9, "data/rds/odbus6_9.rds")The following code chunk reloads the same data.
odbus6_9 <- read_rds("chap15/data/rds/odbus6_9.rds")Importing Geospatial Data
We use the code chunk below to load the bus stop locations into R.
busstop <- st_read(dsn = "data/geospatial",
layer = "BusStop") %>%
st_transform(crs = 3414)Reading layer `BusStop' from data source
`C:\drkrodriguez\ISSS626-GAA\Hands-on\Hands-On_Ex13\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 5159 features and 3 fields
Geometry type: POINT
Dimension: XY
Bounding box: xmin: 3970.122 ymin: 26482.1 xmax: 48284.56 ymax: 52983.82
Projected CRS: SVY21The following code chunk loads the masterplan subzone boudaries
mpsz <- st_read(dsn = "data/geospatial",
layer = "MPSZ-2019") %>%
st_transform(crs = 3414)Reading layer `MPSZ-2019' from data source
`C:\drkrodriguez\ISSS626-GAA\Hands-on\Hands-On_Ex13\data\geospatial'
using driver `ESRI Shapefile'
Simple feature collection with 332 features and 6 fields
Geometry type: MULTIPOLYGON
Dimension: XY
Bounding box: xmin: 103.6057 ymin: 1.158699 xmax: 104.0885 ymax: 1.470775
Geodetic CRS: WGS 84Geospatial Data wrangling
The code chunk below combines the busstop and mpsz data by populating the planning subzone code into the busstop object.
busstop_mpsz <- st_intersection(busstop, mpsz) %>%
select(BUS_STOP_N, SUBZONE_C) %>%
st_drop_geometry()Warning: attribute variables are assumed to be spatially constant throughout
all geometriesdatatable(busstop_mpsz)We can save the output into an rds file to save our work up to this point.
write_rds(busstop_mpsz, "data/rds/busstop_mpsz.rds") Next, we use the code chunk below to append the planning subzone code of the origin onto odbus6_9
od_data <- left_join(odbus6_9 , busstop_mpsz,
by = c("ORIGIN_PT_CODE" = "BUS_STOP_N")) %>%
rename(ORIGIN_BS = ORIGIN_PT_CODE,
ORIGIN_SZ = SUBZONE_C,
DESTIN_BS = DESTINATION_PT_CODE)Warning in left_join(odbus6_9, busstop_mpsz, by = c(ORIGIN_PT_CODE = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 55491 of `x` matches multiple rows in `y`.
ℹ Row 161 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.We check if there are any duplicated records using the code chunk below
duplicate <- od_data %>%
group_by_all() %>%
filter(n()>1) %>%
ungroup()datatable(duplicate)We see that there are quite a number of duplicated records. We use the code chunk below to remove duplicates
od_data <- unique(od_data)We then update the object with the planning subzone code of the destination using the code chunk below and then remove any duplicates
od_data <- left_join(od_data , busstop_mpsz,
by = c("DESTIN_BS" = "BUS_STOP_N")) Warning in left_join(od_data, busstop_mpsz, by = c(DESTIN_BS = "BUS_STOP_N")): Detected an unexpected many-to-many relationship between `x` and `y`.
ℹ Row 74 of `x` matches multiple rows in `y`.
ℹ Row 1379 of `y` matches multiple rows in `x`.
ℹ If a many-to-many relationship is expected, set `relationship =
"many-to-many"` to silence this warning.od_data <- unique(od_data)od_data <- od_data %>%
rename(DESTIN_SZ = SUBZONE_C) %>%
drop_na() %>%
group_by(ORIGIN_SZ, DESTIN_SZ) %>%
summarise(MORNING_PEAK = sum(TRIPS))`summarise()` has grouped output by 'ORIGIN_SZ'. You can override using the
`.groups` argument.We can save this into an rds file to be able to preserve our work so far.
write_rds(od_data, "data/rds/od_data_fii.rds")od_data_fii <- read_rds("data/rds/od_data.rds")Visualizing Spatial Interaction
In this section, we learn about using the stplanr package to prepare desire lines
Removing intra-zonal flows
We are not interested in intra-zonal flows. As such, we use the code below to remove them
od_data_fij <- od_data[od_data$ORIGIN_SZ!=od_data$DESTIN_SZ,]Creating desire lines
In the code below, we use od2line() of stplanr package to create the desire lines
flowLine <- od2line(flow = od_data_fii,
zones = mpsz,
zone_code = "SUBZONE_C")Creating centroids representing desire line start and end points.Visualizing the desire lines
To visualize the desire lines, the code chunk below can be used.
tm_shape(mpsz) +
tm_polygons() +
flowLine %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object lengthWarning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
When there are too many flow lines rendering the visualization ineffective, it is wise to just focus on a subset of flows. The code chunk below just shows the flows with value of at least 5000
tm_shape(mpsz) +
tm_polygons() +
flowLine %>%
filter(MORNING_PEAK >= 5000) %>%
tm_shape() +
tm_lines(lwd = "MORNING_PEAK",
style = "quantile",
scale = c(0.1, 1, 3, 5, 7, 10),
n = 6,
alpha = 0.3)Warning in g$scale * (w_legend/maxW): longer object length is not a multiple of
shorter object lengthWarning in g$scale * (x/maxW): longer object length is not a multiple of
shorter object length
Calibrating Spatial Interaction Models with R
Spatial interaction models or SIMs are models for estimating flows between entitites and has four main types:
Unconstrained
Production-constrained
Attraction-coonstrained
Doubly-constrained
We continue working with the same data to determine factors affecting public bus passenger flows during morning peak hours.
Computing the Distance Matrix
Converting the sf data table to SpatialPolygonsDataFrame
The distance matrix can be computed using sf or sp. Previous runs have shown that computing the distance matrix using sp rather than sf is faster so we will be using that here.
First, we convert the subzone boundaries into a SpatialPolygonsDataFrame using the following code chunk
mpsz_sp <- as(mpsz, "Spatial")
mpsz_spclass : SpatialPolygonsDataFrame
features : 332
extent : 2667.538, 56396.44, 15748.72, 50256.33 (xmin, xmax, ymin, ymax)
crs : +proj=tmerc +lat_0=1.36666666666667 +lon_0=103.833333333333 +k=1 +x_0=28001.642 +y_0=38744.572 +ellps=WGS84 +towgs84=0,0,0,0,0,0,0 +units=m +no_defs
variables : 6
names : SUBZONE_N, SUBZONE_C, PLN_AREA_N, PLN_AREA_C, REGION_N, REGION_C
min values : ADMIRALTY, AMSZ01, ANG MO KIO, AM, CENTRAL REGION, CR
max values : YUNNAN, YSSZ09, YISHUN, YS, WEST REGION, WR Computing the distance matrix
We can use spDists() of sp package in the code chunk below to compute for the Euclidean distance between centroids of the subzones.
dist <- spDists(mpsz_sp,
longlat = FALSE)head(dist, n=c(10, 10)) [,1] [,2] [,3] [,4] [,5] [,6] [,7]
[1,] 0.000 3926.0025 3939.108 20252.964 2989.9839 1431.330 19211.836
[2,] 3926.003 0.0000 305.737 16513.865 951.8314 5254.066 16242.523
[3,] 3939.108 305.7370 0.000 16412.062 1045.9088 5299.849 16026.146
[4,] 20252.964 16513.8648 16412.062 0.000 17450.3044 21665.795 7229.017
[5,] 2989.984 951.8314 1045.909 17450.304 0.0000 4303.232 17020.916
[6,] 1431.330 5254.0664 5299.849 21665.795 4303.2323 0.000 20617.082
[7,] 19211.836 16242.5230 16026.146 7229.017 17020.9161 20617.082 0.000
[8,] 14960.942 12749.4101 12477.871 11284.279 13336.0421 16281.453 5606.082
[9,] 7515.256 7934.8082 7649.776 18427.503 7801.6163 8403.896 14810.930
[10,] 6391.342 4975.0021 4669.295 15469.566 5226.8731 7707.091 13111.391
[,8] [,9] [,10]
[1,] 14960.942 7515.256 6391.342
[2,] 12749.410 7934.808 4975.002
[3,] 12477.871 7649.776 4669.295
[4,] 11284.279 18427.503 15469.566
[5,] 13336.042 7801.616 5226.873
[6,] 16281.453 8403.896 7707.091
[7,] 5606.082 14810.930 13111.391
[8,] 0.000 9472.024 8575.490
[9,] 9472.024 0.000 3780.800
[10,] 8575.490 3780.800 0.000Labeling row and column names
We first create a sorted list according to the distance matrix based on the planning zone subcode
sz_names <- mpsz$SUBZONE_CNext we attach the subzone names to the row and column headers
colnames(dist) <- paste0(sz_names)
rownames(dist) <- paste0(sz_names)Pivoting distance value by subzone name
We use the code chunk below to unpivot the distance matrix into a long table by using the subzone codes
distPair <- melt(dist) %>%
rename(dist = value)
head(distPair, 10) Var1 Var2 dist
1 MESZ01 MESZ01 0.000
2 RVSZ05 MESZ01 3926.003
3 SRSZ01 MESZ01 3939.108
4 WISZ01 MESZ01 20252.964
5 MUSZ02 MESZ01 2989.984
6 MPSZ05 MESZ01 1431.330
7 WISZ03 MESZ01 19211.836
8 WISZ02 MESZ01 14960.942
9 SISZ02 MESZ01 7515.256
10 SISZ01 MESZ01 6391.342We see that intrazone distances appear as zero here
Updating intrazonal distances
We use this section to raplce the intrazonal distance with another constant
We first use summary() to select and fin the minim value of the distance
distPair %>%
filter(dist > 0) %>%
summary() Var1 Var2 dist
MESZ01 : 331 MESZ01 : 331 Min. : 173.8
RVSZ05 : 331 RVSZ05 : 331 1st Qu.: 7149.5
SRSZ01 : 331 SRSZ01 : 331 Median :11890.0
WISZ01 : 331 WISZ01 : 331 Mean :12229.4
MUSZ02 : 331 MUSZ02 : 331 3rd Qu.:16401.7
MPSZ05 : 331 MPSZ05 : 331 Max. :49894.4
(Other):107906 (Other):107906 Next, we replace the distance with a value of 50 if its current is zero
distPair$dist <- ifelse(distPair$dist == 0,
50, distPair$dist)The code chunk below checks the resulting dataframe
distPair %>%
summary() Var1 Var2 dist
MESZ01 : 332 MESZ01 : 332 Min. : 50
RVSZ05 : 332 RVSZ05 : 332 1st Qu.: 7097
SRSZ01 : 332 SRSZ01 : 332 Median :11864
WISZ01 : 332 WISZ01 : 332 Mean :12193
MUSZ02 : 332 MUSZ02 : 332 3rd Qu.:16388
MPSZ05 : 332 MPSZ05 : 332 Max. :49894
(Other):108232 (Other):108232 We then use the following to rename the origin and the destination fields
distPair <- distPair %>%
rename(orig = Var1,
dest = Var2)Preparing the flow data
We will start with the od_data_fii object for this step.
We compute the total number of passenger trips between and within subzone using the code chunk below
flow_data <- od_data_fii %>%
group_by(ORIGIN_SZ, DESTIN_SZ) %>%
summarize(TRIPS = sum(MORNING_PEAK)) `summarise()` has grouped output by 'ORIGIN_SZ'. You can override using the
`.groups` argument.We show the first ten records using the code chunk below
head(flow_data, 10)# A tibble: 10 × 3
# Groups: ORIGIN_SZ [1]
ORIGIN_SZ DESTIN_SZ TRIPS
<chr> <chr> <dbl>
1 AMSZ01 AMSZ01 1998
2 AMSZ01 AMSZ02 8289
3 AMSZ01 AMSZ03 8971
4 AMSZ01 AMSZ04 2252
5 AMSZ01 AMSZ05 6136
6 AMSZ01 AMSZ06 2148
7 AMSZ01 AMSZ07 1620
8 AMSZ01 AMSZ08 1925
9 AMSZ01 AMSZ09 1773
10 AMSZ01 AMSZ10 63Separating intra-flow from passenger volume
We use the code chunk below to create three new fields in the dataframe
flow_data$FlowNoIntra <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
0, flow_data$TRIPS)
flow_data$offset <- ifelse(
flow_data$ORIGIN_SZ == flow_data$DESTIN_SZ,
0.000001, 1)Combining passenger volume data with distance value
We first need to convert the data type of the origin and destinations into factors using the code chunk below
flow_data$ORIGIN_SZ <- as.factor(flow_data$ORIGIN_SZ)
flow_data$DESTIN_SZ <- as.factor(flow_data$DESTIN_SZ)Next, we combine flow_data and distPair using left_join()
flow_data1 <- flow_data %>%
left_join (distPair,
by = c("ORIGIN_SZ" = "orig",
"DESTIN_SZ" = "dest"))Preparing Origin and Destination Attributes
Importing population data
pop <- read_csv("data/aspatial/pop.csv")Rows: 332 Columns: 5
── Column specification ────────────────────────────────────────────────────────
Delimiter: ","
chr (2): PA, SZ
dbl (3): AGE7_12, AGE13_24, AGE25_64
ℹ Use `spec()` to retrieve the full column specification for this data.
ℹ Specify the column types or set `show_col_types = FALSE` to quiet this message.pop1 <- pop %>%
left_join(st_drop_geometry(mpsz), by = c(SZ = "SUBZONE_N"))Preparing origin and destination attribute
flow_data1 <- flow_data1 %>%
left_join(pop1,
by = c(ORIGIN_SZ = "SUBZONE_C")) %>%
rename(ORIGIN_AGE7_12 = AGE7_12,
ORIGIN_AGE13_24 = AGE13_24,
ORIGIN_AGE25_64 = AGE25_64) %>%
select(-c(PA))
flow_data1 <- flow_data1 %>%
left_join(pop1,
by = c(DESTIN_SZ = "SUBZONE_C")) %>%
rename(DESTIN_AGE7_12 = AGE7_12,
DESTIN_AGE13_24 = AGE13_24,
DESTIN_AGE25_64 = AGE25_64) %>%
select(-c(PA))Calibrating Spatial Interaction models
Importing the modelling data
We rename the last object to indicate it as the modeling data
SIM_data <- flow_data1Visualizing the dependent variable
We can plot the distribution of the dependent variable using ggplot package
ggplot(data = SIM_data,
aes(x = TRIPS)) +
geom_histogram()`stat_bin()` using `bins = 30`. Pick better value with `binwidth`.
The distribution is highly skewed and far from normal
We can visualize the relationship between the dependent variable and an independent variable like distance using the code chunk below
ggplot(data = SIM_data,
aes(x = dist,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
The plot doesn’t show a linear relationship between these variables
Alternatively, we can use a log transformed version of these variables and see the relationship of those
ggplot(data = SIM_data,
aes(x = log(dist),
y = log(TRIPS))) +
geom_point() +
geom_smooth(method = lm)`geom_smooth()` using formula = 'y ~ x'
Checking for variables with zero values
Since the log of a zero value is underfined, it is important to ensure that there are no zeros especially for Poisson regression.
The code chunk below displays summary statistics for all numeric variables.
summary(SIM_data) ORIGIN_SZ DESTIN_SZ TRIPS FlowNoIntra
Length:14734 Length:14734 Min. : 1 Min. : 0.0
Class :character Class :character 1st Qu.: 14 1st Qu.: 13.0
Mode :character Mode :character Median : 76 Median : 70.0
Mean : 1021 Mean : 839.9
3rd Qu.: 426 3rd Qu.: 379.0
Max. :232187 Max. :148274.0
offset dist SZ.x ORIGIN_AGE7_12
Min. :0.000001 Min. : 50 Length:14734 Min. : 0
1st Qu.:1.000000 1st Qu.: 3346 Class :character 1st Qu.: 240
Median :1.000000 Median : 6067 Mode :character Median : 700
Mean :0.982150 Mean : 6880 Mean :1032
3rd Qu.:1.000000 3rd Qu.: 9729 3rd Qu.:1480
Max. :1.000000 Max. :26136 Max. :6340
ORIGIN_AGE13_24 ORIGIN_AGE25_64 PLN_AREA_N.x PLN_AREA_C.x
Min. : 0 Min. : 0 Length:14734 Length:14734
1st Qu.: 440 1st Qu.: 2200 Class :character Class :character
Median : 1350 Median : 6810 Mode :character Mode :character
Mean : 2269 Mean :10487
3rd Qu.: 3260 3rd Qu.:15770
Max. :16380 Max. :74610
REGION_N.x REGION_C.x SZ.y DESTIN_AGE7_12
Length:14734 Length:14734 Length:14734 Min. : 0
Class :character Class :character Class :character 1st Qu.: 240
Mode :character Mode :character Mode :character Median : 720
Mean :1033
3rd Qu.:1500
Max. :6340
DESTIN_AGE13_24 DESTIN_AGE25_64 PLN_AREA_N.y PLN_AREA_C.y
Min. : 0 Min. : 0 Length:14734 Length:14734
1st Qu.: 460 1st Qu.: 2200 Class :character Class :character
Median : 1420 Median : 7030 Mode :character Mode :character
Mean : 2290 Mean :10574
3rd Qu.: 3260 3rd Qu.:15830
Max. :16380 Max. :74610
REGION_N.y REGION_C.y
Length:14734 Length:14734
Class :character Class :character
Mode :character Mode :character
The report shows some variables that have zero values. We use the code chunk below to replace any zero values for those variables with 0.99
SIM_data$DESTIN_AGE7_12 <- ifelse(
SIM_data$DESTIN_AGE7_12 == 0,
0.99, SIM_data$DESTIN_AGE7_12)
SIM_data$DESTIN_AGE13_24 <- ifelse(
SIM_data$DESTIN_AGE13_24 == 0,
0.99, SIM_data$DESTIN_AGE13_24)
SIM_data$DESTIN_AGE25_64 <- ifelse(
SIM_data$DESTIN_AGE25_64 == 0,
0.99, SIM_data$DESTIN_AGE25_64)
SIM_data$ORIGIN_AGE7_12 <- ifelse(
SIM_data$ORIGIN_AGE7_12 == 0,
0.99, SIM_data$ORIGIN_AGE7_12)
SIM_data$ORIGIN_AGE13_24 <- ifelse(
SIM_data$ORIGIN_AGE13_24 == 0,
0.99, SIM_data$ORIGIN_AGE13_24)
SIM_data$ORIGIN_AGE25_64 <- ifelse(
SIM_data$ORIGIN_AGE25_64 == 0,
0.99, SIM_data$ORIGIN_AGE25_64)Unconstrained spatial interaction model
The code chunk below uses glm() to calibrate a spatial interaction model
uncSIM <- glm(formula = TRIPS ~
log(ORIGIN_AGE25_64) +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
uncSIM
Call: glm(formula = TRIPS ~ log(ORIGIN_AGE25_64) + log(DESTIN_AGE25_64) +
log(dist), family = poisson(link = "log"), data = SIM_data,
na.action = na.exclude)
Coefficients:
(Intercept) log(ORIGIN_AGE25_64) log(DESTIN_AGE25_64)
10.407308 0.244859 0.009562
log(dist)
-0.705896
Degrees of Freedom: 14733 Total (i.e. Null); 14730 Residual
Null Deviance: 60800000
Residual Deviance: 36430000 AIC: 36520000R-squared function
We write a function to compute for the R-squared value in order to measure the variation in the number of trips accounted for by the model
CalcRSquared <- function(observed,estimated){
r <- cor(observed,estimated)
R2 <- r^2
R2
}We compute for the R-squared of the unconstrained SIM using the code chunk below
CalcRSquared(uncSIM$data$TRIPS, uncSIM$fitted.values)[1] 0.1892576r2_mcfadden(uncSIM)# R2 for Generalized Linear Regression
R2: 0.400
adj. R2: 0.400Origin constrained SIM
The code chunk below fits an origin constrained model
orcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
log(DESTIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(orcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + log(DESTIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 1.211e+01 3.785e-03 3199.012 < 2e-16 ***
ORIGIN_SZAMSZ02 1.008e+00 4.450e-03 226.401 < 2e-16 ***
ORIGIN_SZAMSZ03 5.474e-01 4.563e-03 119.959 < 2e-16 ***
ORIGIN_SZAMSZ04 -7.494e-02 5.187e-03 -14.448 < 2e-16 ***
ORIGIN_SZAMSZ05 -2.006e-01 5.790e-03 -34.650 < 2e-16 ***
ORIGIN_SZAMSZ06 4.193e-01 5.130e-03 81.736 < 2e-16 ***
ORIGIN_SZAMSZ07 -1.372e+00 9.683e-03 -141.686 < 2e-16 ***
ORIGIN_SZAMSZ08 -1.022e+00 8.956e-03 -114.087 < 2e-16 ***
ORIGIN_SZAMSZ09 2.239e-01 5.408e-03 41.396 < 2e-16 ***
ORIGIN_SZAMSZ10 5.061e-01 4.716e-03 107.311 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.856e+00 1.285e-02 -144.414 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.580e+00 1.076e-02 -146.883 < 2e-16 ***
ORIGIN_SZBDSZ01 1.072e+00 4.345e-03 246.734 < 2e-16 ***
ORIGIN_SZBDSZ02 5.198e-01 5.079e-03 102.340 < 2e-16 ***
ORIGIN_SZBDSZ03 9.865e-01 4.490e-03 219.724 < 2e-16 ***
ORIGIN_SZBDSZ04 1.767e+00 3.894e-03 453.646 < 2e-16 ***
ORIGIN_SZBDSZ05 6.395e-01 4.546e-03 140.691 < 2e-16 ***
ORIGIN_SZBDSZ06 9.363e-01 4.543e-03 206.094 < 2e-16 ***
ORIGIN_SZBDSZ07 -1.281e+00 9.558e-03 -133.991 < 2e-16 ***
ORIGIN_SZBDSZ08 -1.167e+00 9.032e-03 -129.194 < 2e-16 ***
ORIGIN_SZBKSZ01 -4.540e-01 6.538e-03 -69.437 < 2e-16 ***
ORIGIN_SZBKSZ02 3.736e-01 5.115e-03 73.050 < 2e-16 ***
ORIGIN_SZBKSZ03 5.841e-01 4.934e-03 118.375 < 2e-16 ***
ORIGIN_SZBKSZ04 -1.177e-01 5.914e-03 -19.895 < 2e-16 ***
ORIGIN_SZBKSZ05 -2.164e-01 5.832e-03 -37.115 < 2e-16 ***
ORIGIN_SZBKSZ06 3.684e-03 5.873e-03 0.627 0.53048
ORIGIN_SZBKSZ07 7.456e-01 4.426e-03 168.439 < 2e-16 ***
ORIGIN_SZBKSZ08 -2.279e-02 5.348e-03 -4.261 2.04e-05 ***
ORIGIN_SZBKSZ09 -9.572e-02 5.721e-03 -16.733 < 2e-16 ***
ORIGIN_SZBLSZ01 -1.688e+00 1.482e-02 -113.887 < 2e-16 ***
ORIGIN_SZBLSZ02 -2.154e+00 1.924e-02 -111.980 < 2e-16 ***
ORIGIN_SZBLSZ03 -3.249e+00 3.930e-02 -82.662 < 2e-16 ***
ORIGIN_SZBLSZ04 -2.203e+00 2.306e-02 -95.557 < 2e-16 ***
ORIGIN_SZBMSZ01 -1.267e-01 5.222e-03 -24.266 < 2e-16 ***
ORIGIN_SZBMSZ02 -1.075e+00 6.742e-03 -159.386 < 2e-16 ***
ORIGIN_SZBMSZ03 -4.386e-01 5.794e-03 -75.707 < 2e-16 ***
ORIGIN_SZBMSZ04 -6.333e-02 5.157e-03 -12.280 < 2e-16 ***
ORIGIN_SZBMSZ05 -2.256e+00 1.247e-02 -180.957 < 2e-16 ***
ORIGIN_SZBMSZ06 -2.378e+00 1.618e-02 -147.029 < 2e-16 ***
ORIGIN_SZBMSZ07 -4.769e-01 5.653e-03 -84.362 < 2e-16 ***
ORIGIN_SZBMSZ08 -5.652e-01 5.811e-03 -97.259 < 2e-16 ***
ORIGIN_SZBMSZ09 -1.232e+00 8.688e-03 -141.760 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.471e+00 9.130e-03 -161.131 < 2e-16 ***
ORIGIN_SZBMSZ11 -7.866e-01 6.595e-03 -119.263 < 2e-16 ***
ORIGIN_SZBMSZ12 -1.072e+00 9.149e-03 -117.206 < 2e-16 ***
ORIGIN_SZBMSZ13 -1.207e-01 5.691e-03 -21.218 < 2e-16 ***
ORIGIN_SZBMSZ14 -5.376e-01 6.629e-03 -81.098 < 2e-16 ***
ORIGIN_SZBMSZ15 -3.253e-01 6.054e-03 -53.740 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.548e+00 9.144e-03 -169.303 < 2e-16 ***
ORIGIN_SZBMSZ17 -2.169e+00 1.576e-02 -137.622 < 2e-16 ***
ORIGIN_SZBPSZ01 1.369e-01 5.553e-03 24.660 < 2e-16 ***
ORIGIN_SZBPSZ02 -3.292e-02 6.462e-03 -5.094 3.50e-07 ***
ORIGIN_SZBPSZ03 1.491e-01 6.149e-03 24.241 < 2e-16 ***
ORIGIN_SZBPSZ04 3.544e-01 5.084e-03 69.711 < 2e-16 ***
ORIGIN_SZBPSZ05 5.454e-01 4.554e-03 119.764 < 2e-16 ***
ORIGIN_SZBPSZ06 -1.406e+00 9.311e-03 -151.045 < 2e-16 ***
ORIGIN_SZBPSZ07 -1.004e+00 8.575e-03 -117.068 < 2e-16 ***
ORIGIN_SZBSSZ01 -1.625e-02 5.276e-03 -3.080 0.00207 **
ORIGIN_SZBSSZ02 3.088e-01 4.787e-03 64.495 < 2e-16 ***
ORIGIN_SZBSSZ03 2.555e-01 4.689e-03 54.487 < 2e-16 ***
ORIGIN_SZBTSZ01 -6.646e-02 5.385e-03 -12.340 < 2e-16 ***
ORIGIN_SZBTSZ02 -1.078e+00 7.797e-03 -138.225 < 2e-16 ***
ORIGIN_SZBTSZ03 -2.284e-01 5.727e-03 -39.876 < 2e-16 ***
ORIGIN_SZBTSZ04 -1.053e+00 1.019e-02 -103.339 < 2e-16 ***
ORIGIN_SZBTSZ05 -1.647e+00 1.100e-02 -149.690 < 2e-16 ***
ORIGIN_SZBTSZ06 -7.804e-01 7.181e-03 -108.682 < 2e-16 ***
ORIGIN_SZBTSZ07 -2.298e+00 1.321e-02 -173.921 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.283e+00 9.394e-03 -136.560 < 2e-16 ***
ORIGIN_SZCBSZ01 -1.911e+00 5.483e-02 -34.844 < 2e-16 ***
ORIGIN_SZCCSZ01 -1.758e+00 1.331e-02 -132.099 < 2e-16 ***
ORIGIN_SZCHSZ01 -1.236e+00 1.178e-02 -104.954 < 2e-16 ***
ORIGIN_SZCHSZ02 -5.424e-01 7.940e-03 -68.307 < 2e-16 ***
ORIGIN_SZCHSZ03 4.332e-01 5.841e-03 74.153 < 2e-16 ***
ORIGIN_SZCKSZ01 1.843e-01 5.117e-03 36.007 < 2e-16 ***
ORIGIN_SZCKSZ02 6.800e-01 5.087e-03 133.672 < 2e-16 ***
ORIGIN_SZCKSZ03 8.030e-01 4.522e-03 177.574 < 2e-16 ***
ORIGIN_SZCKSZ04 1.298e+00 4.562e-03 284.446 < 2e-16 ***
ORIGIN_SZCKSZ05 1.011e+00 5.305e-03 190.602 < 2e-16 ***
ORIGIN_SZCKSZ06 1.262e+00 5.042e-03 250.262 < 2e-16 ***
ORIGIN_SZCLSZ01 -6.805e-01 7.661e-03 -88.836 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.837e+00 1.364e-02 -134.665 < 2e-16 ***
ORIGIN_SZCLSZ03 -1.001e+00 7.949e-03 -125.969 < 2e-16 ***
ORIGIN_SZCLSZ04 6.966e-01 4.460e-03 156.204 < 2e-16 ***
ORIGIN_SZCLSZ05 -1.974e+00 1.474e-02 -133.906 < 2e-16 ***
ORIGIN_SZCLSZ06 8.585e-01 4.204e-03 204.230 < 2e-16 ***
ORIGIN_SZCLSZ07 -2.974e-01 5.575e-03 -53.346 < 2e-16 ***
ORIGIN_SZCLSZ08 3.231e-01 5.802e-03 55.688 < 2e-16 ***
ORIGIN_SZCLSZ09 -1.697e+00 1.555e-02 -109.106 < 2e-16 ***
ORIGIN_SZDTSZ02 -4.061e+00 8.341e-02 -48.693 < 2e-16 ***
ORIGIN_SZDTSZ03 -4.031e+00 7.381e-02 -54.618 < 2e-16 ***
ORIGIN_SZDTSZ13 -3.000e+00 3.129e-02 -95.889 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.405e+00 9.192e-03 -152.876 < 2e-16 ***
ORIGIN_SZGLSZ02 2.536e-01 4.889e-03 51.880 < 2e-16 ***
ORIGIN_SZGLSZ03 2.411e-01 4.855e-03 49.649 < 2e-16 ***
ORIGIN_SZGLSZ04 8.350e-01 4.200e-03 198.826 < 2e-16 ***
ORIGIN_SZGLSZ05 6.207e-01 4.375e-03 141.857 < 2e-16 ***
ORIGIN_SZHGSZ01 2.806e-01 4.746e-03 59.121 < 2e-16 ***
ORIGIN_SZHGSZ02 4.917e-01 4.712e-03 104.351 < 2e-16 ***
ORIGIN_SZHGSZ03 2.452e-01 5.113e-03 47.952 < 2e-16 ***
ORIGIN_SZHGSZ04 9.052e-01 4.303e-03 210.358 < 2e-16 ***
ORIGIN_SZHGSZ05 1.170e+00 4.253e-03 275.033 < 2e-16 ***
ORIGIN_SZHGSZ06 -1.016e-01 5.413e-03 -18.773 < 2e-16 ***
ORIGIN_SZHGSZ07 6.984e-01 4.455e-03 156.757 < 2e-16 ***
ORIGIN_SZHGSZ08 1.005e-01 5.354e-03 18.781 < 2e-16 ***
ORIGIN_SZHGSZ09 -5.390e-01 6.962e-03 -77.417 < 2e-16 ***
ORIGIN_SZHGSZ10 -3.512e+00 4.211e-02 -83.388 < 2e-16 ***
ORIGIN_SZJESZ01 4.022e-01 4.869e-03 82.601 < 2e-16 ***
ORIGIN_SZJESZ02 2.273e-01 4.924e-03 46.158 < 2e-16 ***
ORIGIN_SZJESZ03 1.829e-01 5.286e-03 34.598 < 2e-16 ***
ORIGIN_SZJESZ04 -1.177e+00 9.142e-03 -128.767 < 2e-16 ***
ORIGIN_SZJESZ05 -2.065e+00 1.382e-02 -149.494 < 2e-16 ***
ORIGIN_SZJESZ06 2.301e-01 4.853e-03 47.410 < 2e-16 ***
ORIGIN_SZJESZ07 -1.889e+00 1.183e-02 -159.599 < 2e-16 ***
ORIGIN_SZJESZ08 -1.062e+00 1.147e-02 -92.551 < 2e-16 ***
ORIGIN_SZJESZ09 5.237e-01 4.959e-03 105.612 < 2e-16 ***
ORIGIN_SZJESZ10 -1.829e+00 1.800e-02 -101.616 < 2e-16 ***
ORIGIN_SZJESZ11 -2.023e+00 1.931e-02 -104.738 < 2e-16 ***
ORIGIN_SZJWSZ01 2.125e-01 6.405e-03 33.183 < 2e-16 ***
ORIGIN_SZJWSZ02 8.858e-01 4.521e-03 195.929 < 2e-16 ***
ORIGIN_SZJWSZ03 1.269e+00 4.188e-03 302.922 < 2e-16 ***
ORIGIN_SZJWSZ04 1.284e+00 4.280e-03 300.017 < 2e-16 ***
ORIGIN_SZJWSZ05 -1.393e+00 1.252e-02 -111.339 < 2e-16 ***
ORIGIN_SZJWSZ06 -1.015e+00 1.067e-02 -95.109 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.694e+00 2.751e-02 -97.911 < 2e-16 ***
ORIGIN_SZJWSZ08 1.950e+00 4.110e-03 474.430 < 2e-16 ***
ORIGIN_SZJWSZ09 1.831e+00 3.899e-03 469.595 < 2e-16 ***
ORIGIN_SZKLSZ01 1.636e-01 4.902e-03 33.374 < 2e-16 ***
ORIGIN_SZKLSZ02 -5.156e-01 6.321e-03 -81.570 < 2e-16 ***
ORIGIN_SZKLSZ03 -4.145e-01 5.949e-03 -69.666 < 2e-16 ***
ORIGIN_SZKLSZ04 -2.283e+00 1.187e-02 -192.327 < 2e-16 ***
ORIGIN_SZKLSZ05 -8.593e-01 8.272e-03 -103.882 < 2e-16 ***
ORIGIN_SZKLSZ06 -4.709e+00 1.857e-01 -25.352 < 2e-16 ***
ORIGIN_SZKLSZ07 -1.123e+00 8.408e-03 -133.615 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.476e+00 9.152e-03 -161.321 < 2e-16 ***
ORIGIN_SZLKSZ01 -3.273e+00 3.875e-02 -84.465 < 2e-16 ***
ORIGIN_SZMDSZ01 -2.615e+00 2.802e-02 -93.303 < 2e-16 ***
ORIGIN_SZMDSZ02 -8.945e-01 1.035e-02 -86.389 < 2e-16 ***
ORIGIN_SZMDSZ03 -1.998e+00 1.703e-02 -117.297 < 2e-16 ***
ORIGIN_SZMPSZ01 -1.093e+00 8.367e-03 -130.656 < 2e-16 ***
ORIGIN_SZMPSZ02 -5.975e-01 6.898e-03 -86.616 < 2e-16 ***
ORIGIN_SZMPSZ03 -9.706e-03 5.319e-03 -1.825 0.06804 .
ORIGIN_SZMUSZ02 -3.923e+00 1.038e-01 -37.806 < 2e-16 ***
ORIGIN_SZNTSZ01 -2.829e+00 3.529e-02 -80.157 < 2e-16 ***
ORIGIN_SZNTSZ02 -3.256e+00 2.323e-02 -140.180 < 2e-16 ***
ORIGIN_SZNTSZ03 -9.865e-01 7.777e-03 -126.848 < 2e-16 ***
ORIGIN_SZNTSZ05 -3.353e+00 4.964e-02 -67.546 < 2e-16 ***
ORIGIN_SZNTSZ06 -3.818e+00 5.576e-02 -68.483 < 2e-16 ***
ORIGIN_SZNVSZ01 4.449e-01 4.482e-03 99.269 < 2e-16 ***
ORIGIN_SZNVSZ02 -6.279e-01 6.470e-03 -97.044 < 2e-16 ***
ORIGIN_SZNVSZ03 -1.212e+00 7.788e-03 -155.644 < 2e-16 ***
ORIGIN_SZNVSZ04 -1.469e+00 9.091e-03 -161.543 < 2e-16 ***
ORIGIN_SZNVSZ05 -2.628e+00 1.579e-02 -166.466 < 2e-16 ***
ORIGIN_SZPGSZ01 -9.541e-01 1.223e-02 -78.035 < 2e-16 ***
ORIGIN_SZPGSZ02 -5.353e-01 7.233e-03 -74.009 < 2e-16 ***
ORIGIN_SZPGSZ03 9.574e-01 4.437e-03 215.779 < 2e-16 ***
ORIGIN_SZPGSZ04 1.110e+00 4.417e-03 251.169 < 2e-16 ***
ORIGIN_SZPGSZ05 2.658e-01 5.758e-03 46.156 < 2e-16 ***
ORIGIN_SZPLSZ01 -8.153e-01 1.044e-02 -78.119 < 2e-16 ***
ORIGIN_SZPLSZ02 -1.675e+00 1.478e-02 -113.340 < 2e-16 ***
ORIGIN_SZPLSZ03 -2.963e+00 3.672e-02 -80.686 < 2e-16 ***
ORIGIN_SZPLSZ04 -3.279e+00 3.684e-02 -89.012 < 2e-16 ***
ORIGIN_SZPLSZ05 -2.466e+00 2.245e-02 -109.864 < 2e-16 ***
ORIGIN_SZPNSZ01 1.411e+00 4.584e-03 307.690 < 2e-16 ***
ORIGIN_SZPNSZ02 -5.043e-01 1.108e-02 -45.503 < 2e-16 ***
ORIGIN_SZPNSZ03 -1.878e+00 1.940e-02 -96.796 < 2e-16 ***
ORIGIN_SZPNSZ04 -2.761e+00 3.112e-02 -88.706 < 2e-16 ***
ORIGIN_SZPNSZ05 -2.277e+00 2.628e-02 -86.662 < 2e-16 ***
ORIGIN_SZPRSZ01 -7.934e-01 1.142e-02 -69.499 < 2e-16 ***
ORIGIN_SZPRSZ02 9.414e-01 4.615e-03 203.981 < 2e-16 ***
ORIGIN_SZPRSZ03 7.674e-01 4.626e-03 165.881 < 2e-16 ***
ORIGIN_SZPRSZ04 -3.771e-01 7.516e-03 -50.168 < 2e-16 ***
ORIGIN_SZPRSZ05 1.327e+00 4.325e-03 306.737 < 2e-16 ***
ORIGIN_SZPRSZ06 -4.081e-01 8.651e-03 -47.172 < 2e-16 ***
ORIGIN_SZPRSZ07 -2.151e+00 1.610e-02 -133.558 < 2e-16 ***
ORIGIN_SZPRSZ08 5.293e-04 6.383e-03 0.083 0.93391
ORIGIN_SZQTSZ01 -4.144e-01 6.846e-03 -60.539 < 2e-16 ***
ORIGIN_SZQTSZ02 -7.967e-01 6.327e-03 -125.933 < 2e-16 ***
ORIGIN_SZQTSZ03 -2.415e-01 5.681e-03 -42.509 < 2e-16 ***
ORIGIN_SZQTSZ04 -1.013e+00 7.129e-03 -142.123 < 2e-16 ***
ORIGIN_SZQTSZ05 -3.923e-01 5.994e-03 -65.446 < 2e-16 ***
ORIGIN_SZQTSZ06 -5.662e-01 6.481e-03 -87.359 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.558e+00 9.635e-03 -161.662 < 2e-16 ***
ORIGIN_SZQTSZ08 -1.577e-01 5.699e-03 -27.665 < 2e-16 ***
ORIGIN_SZQTSZ09 -6.189e-01 6.633e-03 -93.312 < 2e-16 ***
ORIGIN_SZQTSZ10 -4.511e-01 6.512e-03 -69.271 < 2e-16 ***
ORIGIN_SZQTSZ11 -1.455e+00 9.800e-03 -148.421 < 2e-16 ***
ORIGIN_SZQTSZ12 -1.475e+00 1.044e-02 -141.309 < 2e-16 ***
ORIGIN_SZQTSZ13 -3.529e-01 6.413e-03 -55.038 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.591e+00 9.847e-03 -161.565 < 2e-16 ***
ORIGIN_SZQTSZ15 -8.955e-01 1.027e-02 -87.184 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.375e+00 1.265e-02 -108.704 < 2e-16 ***
ORIGIN_SZRCSZ06 -6.196e-01 8.475e-03 -73.116 < 2e-16 ***
ORIGIN_SZRVSZ01 -3.523e+00 3.237e-02 -108.818 < 2e-16 ***
ORIGIN_SZRVSZ02 -2.912e+00 2.776e-02 -104.868 < 2e-16 ***
ORIGIN_SZRVSZ03 -3.145e+00 2.379e-02 -132.232 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.357e+00 5.567e-02 -60.309 < 2e-16 ***
ORIGIN_SZRVSZ05 -2.438e+00 1.644e-02 -148.272 < 2e-16 ***
ORIGIN_SZSBSZ01 5.890e-01 5.529e-03 106.520 < 2e-16 ***
ORIGIN_SZSBSZ02 -7.098e-01 8.213e-03 -86.432 < 2e-16 ***
ORIGIN_SZSBSZ03 9.634e-01 4.611e-03 208.943 < 2e-16 ***
ORIGIN_SZSBSZ04 7.729e-01 5.289e-03 146.136 < 2e-16 ***
ORIGIN_SZSBSZ05 -9.966e-02 6.543e-03 -15.231 < 2e-16 ***
ORIGIN_SZSBSZ06 -1.778e+00 1.719e-02 -103.427 < 2e-16 ***
ORIGIN_SZSBSZ07 -1.161e+00 1.256e-02 -92.436 < 2e-16 ***
ORIGIN_SZSBSZ08 -1.212e+00 1.222e-02 -99.227 < 2e-16 ***
ORIGIN_SZSBSZ09 -5.783e-01 8.579e-03 -67.412 < 2e-16 ***
ORIGIN_SZSESZ02 9.999e-01 4.409e-03 226.798 < 2e-16 ***
ORIGIN_SZSESZ03 1.214e+00 4.164e-03 291.675 < 2e-16 ***
ORIGIN_SZSESZ04 8.141e-01 4.868e-03 167.238 < 2e-16 ***
ORIGIN_SZSESZ05 -2.186e-01 5.915e-03 -36.961 < 2e-16 ***
ORIGIN_SZSESZ06 7.298e-01 4.689e-03 155.641 < 2e-16 ***
ORIGIN_SZSESZ07 -2.543e+00 1.961e-02 -129.689 < 2e-16 ***
ORIGIN_SZSGSZ01 -1.016e+00 8.550e-03 -118.869 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.120e+00 9.589e-03 -116.799 < 2e-16 ***
ORIGIN_SZSGSZ03 2.169e-01 5.167e-03 41.970 < 2e-16 ***
ORIGIN_SZSGSZ04 2.672e-01 4.792e-03 55.757 < 2e-16 ***
ORIGIN_SZSGSZ05 -1.785e+00 1.060e-02 -168.456 < 2e-16 ***
ORIGIN_SZSGSZ06 4.017e-01 4.541e-03 88.470 < 2e-16 ***
ORIGIN_SZSGSZ07 -6.303e-01 6.235e-03 -101.098 < 2e-16 ***
ORIGIN_SZSKSZ01 -1.928e-01 7.765e-03 -24.826 < 2e-16 ***
ORIGIN_SZSKSZ02 3.870e-01 5.689e-03 68.026 < 2e-16 ***
ORIGIN_SZSKSZ03 -6.815e-01 7.983e-03 -85.369 < 2e-16 ***
ORIGIN_SZSKSZ04 -2.528e+00 2.702e-02 -93.548 < 2e-16 ***
ORIGIN_SZSKSZ05 -1.370e+00 1.552e-02 -88.311 < 2e-16 ***
ORIGIN_SZSLSZ01 -3.218e+00 3.058e-02 -105.238 < 2e-16 ***
ORIGIN_SZSLSZ04 -6.800e-01 7.683e-03 -88.497 < 2e-16 ***
ORIGIN_SZSRSZ01 -2.389e+00 1.583e-02 -150.989 < 2e-16 ***
ORIGIN_SZTHSZ01 -2.183e+00 4.887e-02 -44.666 < 2e-16 ***
ORIGIN_SZTHSZ03 -2.243e+00 2.243e-02 -100.025 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.005e+00 2.869e-02 -69.879 < 2e-16 ***
ORIGIN_SZTHSZ06 -2.276e+00 1.784e-02 -127.557 < 2e-16 ***
ORIGIN_SZTMSZ01 4.015e-01 5.814e-03 69.048 < 2e-16 ***
ORIGIN_SZTMSZ02 2.222e+00 3.795e-03 585.568 < 2e-16 ***
ORIGIN_SZTMSZ03 1.412e+00 4.108e-03 343.608 < 2e-16 ***
ORIGIN_SZTMSZ04 9.106e-01 4.742e-03 192.036 < 2e-16 ***
ORIGIN_SZTMSZ05 -3.259e-01 7.534e-03 -43.253 < 2e-16 ***
ORIGIN_SZTNSZ01 -1.806e+00 1.038e-02 -174.076 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.741e+00 9.778e-03 -178.108 < 2e-16 ***
ORIGIN_SZTNSZ03 -2.277e+00 1.338e-02 -170.199 < 2e-16 ***
ORIGIN_SZTNSZ04 -7.703e-01 7.197e-03 -107.032 < 2e-16 ***
ORIGIN_SZTPSZ01 -6.466e-01 6.287e-03 -102.841 < 2e-16 ***
ORIGIN_SZTPSZ02 4.633e-01 4.347e-03 106.578 < 2e-16 ***
ORIGIN_SZTPSZ03 -5.186e-01 6.085e-03 -85.234 < 2e-16 ***
ORIGIN_SZTPSZ04 -2.900e-01 5.779e-03 -50.190 < 2e-16 ***
ORIGIN_SZTPSZ05 -2.169e-01 6.072e-03 -35.720 < 2e-16 ***
ORIGIN_SZTPSZ06 3.357e-01 5.942e-03 56.486 < 2e-16 ***
ORIGIN_SZTPSZ07 -2.517e-01 6.317e-03 -39.846 < 2e-16 ***
ORIGIN_SZTPSZ08 -1.075e+00 9.109e-03 -118.034 < 2e-16 ***
ORIGIN_SZTPSZ09 -3.708e-01 6.189e-03 -59.903 < 2e-16 ***
ORIGIN_SZTPSZ10 -6.889e-01 7.634e-03 -90.229 < 2e-16 ***
ORIGIN_SZTPSZ11 7.661e-02 5.459e-03 14.033 < 2e-16 ***
ORIGIN_SZTPSZ12 -5.971e-01 6.522e-03 -91.552 < 2e-16 ***
ORIGIN_SZTSSZ01 -3.517e+00 4.739e-02 -74.210 < 2e-16 ***
ORIGIN_SZTSSZ02 3.022e-01 7.334e-03 41.203 < 2e-16 ***
ORIGIN_SZTSSZ03 3.730e-01 7.073e-03 52.733 < 2e-16 ***
ORIGIN_SZTSSZ04 3.610e-01 7.463e-03 48.372 < 2e-16 ***
ORIGIN_SZTSSZ05 -1.103e+00 1.404e-02 -78.566 < 2e-16 ***
ORIGIN_SZTSSZ06 -1.310e+00 1.718e-02 -76.286 < 2e-16 ***
ORIGIN_SZWCSZ01 -1.233e-01 7.861e-03 -15.690 < 2e-16 ***
ORIGIN_SZWCSZ02 -2.872e+00 3.159e-02 -90.911 < 2e-16 ***
ORIGIN_SZWCSZ03 -4.138e+00 1.241e-01 -33.349 < 2e-16 ***
ORIGIN_SZWDSZ01 1.370e+00 4.146e-03 330.448 < 2e-16 ***
ORIGIN_SZWDSZ02 1.041e+00 4.747e-03 219.219 < 2e-16 ***
ORIGIN_SZWDSZ03 2.189e+00 4.035e-03 542.344 < 2e-16 ***
ORIGIN_SZWDSZ04 1.142e+00 4.963e-03 230.074 < 2e-16 ***
ORIGIN_SZWDSZ05 5.160e-01 4.998e-03 103.230 < 2e-16 ***
ORIGIN_SZWDSZ06 1.208e+00 4.611e-03 262.019 < 2e-16 ***
ORIGIN_SZWDSZ07 -3.805e-01 8.034e-03 -47.365 < 2e-16 ***
ORIGIN_SZWDSZ08 -4.839e-01 7.878e-03 -61.426 < 2e-16 ***
ORIGIN_SZWDSZ09 1.475e+00 4.401e-03 335.097 < 2e-16 ***
ORIGIN_SZYSSZ01 -1.552e-01 5.643e-03 -27.496 < 2e-16 ***
ORIGIN_SZYSSZ02 8.958e-01 4.973e-03 180.144 < 2e-16 ***
ORIGIN_SZYSSZ03 1.757e+00 4.275e-03 411.050 < 2e-16 ***
ORIGIN_SZYSSZ04 8.439e-01 4.538e-03 185.955 < 2e-16 ***
ORIGIN_SZYSSZ05 -9.995e-02 5.920e-03 -16.884 < 2e-16 ***
ORIGIN_SZYSSZ06 -1.175e+00 1.079e-02 -108.835 < 2e-16 ***
ORIGIN_SZYSSZ07 -1.202e+00 1.127e-02 -106.642 < 2e-16 ***
ORIGIN_SZYSSZ08 1.244e-02 6.104e-03 2.039 0.04148 *
ORIGIN_SZYSSZ09 1.385e+00 4.239e-03 326.757 < 2e-16 ***
log(DESTIN_AGE25_64) 2.298e-02 8.832e-05 260.146 < 2e-16 ***
log(dist) -6.947e-01 1.295e-04 -5363.438 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 60796037 on 14733 degrees of freedom
Residual deviance: 26726668 on 14453 degrees of freedom
AIC: 26818857
Number of Fisher Scoring iterations: 7We can also examine the R-squared using the function we prepared
CalcRSquared(orcSIM$data$TRIPS, orcSIM$fitted.values)[1] 0.4165837Destination Constrained SIM
The following code chunk fits a destination constrained model
decSIM <- glm(formula = TRIPS ~
DESTIN_SZ +
log(ORIGIN_AGE25_64) +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(decSIM)
Call:
glm(formula = TRIPS ~ DESTIN_SZ + log(ORIGIN_AGE25_64) + log(dist),
family = poisson(link = "log"), data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 10.8110189 0.0033476 3229.499 < 2e-16 ***
DESTIN_SZAMSZ02 0.1775885 0.0041530 42.761 < 2e-16 ***
DESTIN_SZAMSZ03 0.2064091 0.0040888 50.482 < 2e-16 ***
DESTIN_SZAMSZ04 -0.9406455 0.0060637 -155.127 < 2e-16 ***
DESTIN_SZAMSZ05 -1.1578100 0.0061804 -187.337 < 2e-16 ***
DESTIN_SZAMSZ06 -0.8861493 0.0059241 -149.584 < 2e-16 ***
DESTIN_SZAMSZ07 -1.7712447 0.0096070 -184.370 < 2e-16 ***
DESTIN_SZAMSZ08 -1.0707197 0.0067763 -158.009 < 2e-16 ***
DESTIN_SZAMSZ09 -0.9682250 0.0060435 -160.210 < 2e-16 ***
DESTIN_SZAMSZ10 0.2612773 0.0043738 59.737 < 2e-16 ***
DESTIN_SZAMSZ11 -0.3714704 0.0086200 -43.094 < 2e-16 ***
DESTIN_SZAMSZ12 0.0250455 0.0049850 5.024 5.06e-07 ***
DESTIN_SZBDSZ01 0.5154763 0.0037827 136.271 < 2e-16 ***
DESTIN_SZBDSZ02 -0.2843120 0.0049517 -57.417 < 2e-16 ***
DESTIN_SZBDSZ03 -0.0134646 0.0042692 -3.154 0.00161 **
DESTIN_SZBDSZ04 1.0014441 0.0034463 290.582 < 2e-16 ***
DESTIN_SZBDSZ05 0.3721573 0.0038992 95.445 < 2e-16 ***
DESTIN_SZBDSZ06 0.2013935 0.0042182 47.744 < 2e-16 ***
DESTIN_SZBDSZ07 -1.0642612 0.0092942 -114.508 < 2e-16 ***
DESTIN_SZBDSZ08 -1.7769370 0.0105721 -168.077 < 2e-16 ***
DESTIN_SZBKSZ01 -1.1944766 0.0065580 -182.141 < 2e-16 ***
DESTIN_SZBKSZ02 -0.2604946 0.0052044 -50.053 < 2e-16 ***
DESTIN_SZBKSZ03 -0.5905775 0.0055618 -106.184 < 2e-16 ***
DESTIN_SZBKSZ04 -0.0521573 0.0048274 -10.804 < 2e-16 ***
DESTIN_SZBKSZ05 -0.8258599 0.0057094 -144.650 < 2e-16 ***
DESTIN_SZBKSZ06 -0.8696763 0.0060934 -142.725 < 2e-16 ***
DESTIN_SZBKSZ07 0.2216292 0.0040334 54.949 < 2e-16 ***
DESTIN_SZBKSZ08 -1.1179375 0.0068749 -162.612 < 2e-16 ***
DESTIN_SZBKSZ09 -0.2888733 0.0049056 -58.886 < 2e-16 ***
DESTIN_SZBLSZ01 -0.4487061 0.0070226 -63.894 < 2e-16 ***
DESTIN_SZBLSZ02 0.6343096 0.0065174 97.326 < 2e-16 ***
DESTIN_SZBLSZ03 1.3492337 0.0074135 181.997 < 2e-16 ***
DESTIN_SZBLSZ04 -0.0339193 0.0131568 -2.578 0.00993 **
DESTIN_SZBMSZ01 -0.3497912 0.0046910 -74.567 < 2e-16 ***
DESTIN_SZBMSZ02 -0.5995634 0.0048828 -122.792 < 2e-16 ***
DESTIN_SZBMSZ03 -0.8726401 0.0056851 -153.495 < 2e-16 ***
DESTIN_SZBMSZ04 -0.5350402 0.0048888 -109.442 < 2e-16 ***
DESTIN_SZBMSZ05 -0.4981814 0.0065971 -75.515 < 2e-16 ***
DESTIN_SZBMSZ06 -2.0640198 0.0123050 -167.739 < 2e-16 ***
DESTIN_SZBMSZ07 -0.3100988 0.0045283 -68.480 < 2e-16 ***
DESTIN_SZBMSZ08 -1.2748152 0.0062622 -203.573 < 2e-16 ***
DESTIN_SZBMSZ09 -2.8056325 0.0143532 -195.471 < 2e-16 ***
DESTIN_SZBMSZ10 -1.9166407 0.0089273 -214.693 < 2e-16 ***
DESTIN_SZBMSZ11 -1.7261160 0.0079281 -217.722 < 2e-16 ***
DESTIN_SZBMSZ12 -1.1495908 0.0077721 -147.912 < 2e-16 ***
DESTIN_SZBMSZ13 -0.5428008 0.0050824 -106.799 < 2e-16 ***
DESTIN_SZBMSZ14 -1.1422302 0.0076325 -149.653 < 2e-16 ***
DESTIN_SZBMSZ15 -1.2217517 0.0068685 -177.878 < 2e-16 ***
DESTIN_SZBMSZ16 -2.4074288 0.0107900 -223.116 < 2e-16 ***
DESTIN_SZBMSZ17 -2.6985491 0.0164771 -163.776 < 2e-16 ***
DESTIN_SZBPSZ01 -0.6183085 0.0054605 -113.233 < 2e-16 ***
DESTIN_SZBPSZ02 -1.4579175 0.0083271 -175.080 < 2e-16 ***
DESTIN_SZBPSZ03 -1.0775392 0.0075109 -143.463 < 2e-16 ***
DESTIN_SZBPSZ04 -0.6645303 0.0058070 -114.436 < 2e-16 ***
DESTIN_SZBPSZ05 0.3449386 0.0039504 87.318 < 2e-16 ***
DESTIN_SZBPSZ06 -0.9360064 0.0077394 -120.941 < 2e-16 ***
DESTIN_SZBPSZ07 -0.6850065 0.0077761 -88.091 < 2e-16 ***
DESTIN_SZBSSZ01 -0.3144210 0.0045803 -68.647 < 2e-16 ***
DESTIN_SZBSSZ02 -0.7531935 0.0051075 -147.469 < 2e-16 ***
DESTIN_SZBSSZ03 0.1964072 0.0038255 51.342 < 2e-16 ***
DESTIN_SZBTSZ01 0.0749897 0.0041584 18.033 < 2e-16 ***
DESTIN_SZBTSZ02 -0.8214254 0.0065659 -125.105 < 2e-16 ***
DESTIN_SZBTSZ03 -0.1672596 0.0047942 -34.888 < 2e-16 ***
DESTIN_SZBTSZ04 -1.7727273 0.0103706 -170.938 < 2e-16 ***
DESTIN_SZBTSZ05 -0.8162630 0.0067401 -121.105 < 2e-16 ***
DESTIN_SZBTSZ06 -0.8159130 0.0059754 -136.546 < 2e-16 ***
DESTIN_SZBTSZ07 -2.1139258 0.0105602 -200.178 < 2e-16 ***
DESTIN_SZBTSZ08 -1.3565179 0.0086828 -156.231 < 2e-16 ***
DESTIN_SZCBSZ01 -4.6643129 0.3162417 -14.749 < 2e-16 ***
DESTIN_SZCCSZ01 -1.0088833 0.0080155 -125.866 < 2e-16 ***
DESTIN_SZCHSZ01 -1.1909317 0.0095262 -125.017 < 2e-16 ***
DESTIN_SZCHSZ02 0.0890035 0.0052277 17.025 < 2e-16 ***
DESTIN_SZCHSZ03 1.4883985 0.0039094 380.724 < 2e-16 ***
DESTIN_SZCKSZ01 -0.1684738 0.0047561 -35.422 < 2e-16 ***
DESTIN_SZCKSZ02 -0.4314614 0.0051537 -83.720 < 2e-16 ***
DESTIN_SZCKSZ03 0.6413457 0.0038639 165.983 < 2e-16 ***
DESTIN_SZCKSZ04 -0.6370791 0.0059869 -106.412 < 2e-16 ***
DESTIN_SZCKSZ05 -0.4185112 0.0065348 -64.044 < 2e-16 ***
DESTIN_SZCKSZ06 0.7003888 0.0045139 155.163 < 2e-16 ***
DESTIN_SZCLSZ01 0.3751343 0.0047400 79.143 < 2e-16 ***
DESTIN_SZCLSZ02 -2.2913668 0.0133371 -171.804 < 2e-16 ***
DESTIN_SZCLSZ03 -1.0498490 0.0076548 -137.149 < 2e-16 ***
DESTIN_SZCLSZ04 -0.1118915 0.0044886 -24.928 < 2e-16 ***
DESTIN_SZCLSZ05 -1.3113032 0.0084067 -155.983 < 2e-16 ***
DESTIN_SZCLSZ06 0.1661786 0.0040203 41.334 < 2e-16 ***
DESTIN_SZCLSZ07 -0.6429895 0.0052617 -122.202 < 2e-16 ***
DESTIN_SZCLSZ08 -0.4271702 0.0057208 -74.670 < 2e-16 ***
DESTIN_SZCLSZ09 0.3882136 0.0063758 60.888 < 2e-16 ***
DESTIN_SZDTSZ02 -3.0106480 0.0348374 -86.420 < 2e-16 ***
DESTIN_SZDTSZ03 -1.4195712 0.0144110 -98.506 < 2e-16 ***
DESTIN_SZDTSZ13 -2.2368573 0.0161427 -138.567 < 2e-16 ***
DESTIN_SZGLSZ01 0.0013721 0.0051224 0.268 0.78881
DESTIN_SZGLSZ02 -0.3376674 0.0046195 -73.097 < 2e-16 ***
DESTIN_SZGLSZ03 0.3659900 0.0038384 95.350 < 2e-16 ***
DESTIN_SZGLSZ04 0.2969928 0.0038026 78.103 < 2e-16 ***
DESTIN_SZGLSZ05 0.1786445 0.0038853 45.980 < 2e-16 ***
DESTIN_SZHGSZ01 0.2979206 0.0038825 76.735 < 2e-16 ***
DESTIN_SZHGSZ02 -0.5701034 0.0051182 -111.388 < 2e-16 ***
DESTIN_SZHGSZ03 -1.0387610 0.0061020 -170.233 < 2e-16 ***
DESTIN_SZHGSZ04 -0.2264881 0.0043617 -51.926 < 2e-16 ***
DESTIN_SZHGSZ05 -0.2287090 0.0044851 -50.993 < 2e-16 ***
DESTIN_SZHGSZ06 -0.7896437 0.0054081 -146.010 < 2e-16 ***
DESTIN_SZHGSZ07 0.2268880 0.0040336 56.249 < 2e-16 ***
DESTIN_SZHGSZ08 -0.4260784 0.0048967 -87.013 < 2e-16 ***
DESTIN_SZHGSZ09 0.1027784 0.0051341 20.019 < 2e-16 ***
DESTIN_SZHGSZ10 -2.8571803 0.0262064 -109.026 < 2e-16 ***
DESTIN_SZJESZ01 -0.0843635 0.0048222 -17.495 < 2e-16 ***
DESTIN_SZJESZ02 -0.5197682 0.0051511 -100.904 < 2e-16 ***
DESTIN_SZJESZ03 -0.6250311 0.0056619 -110.392 < 2e-16 ***
DESTIN_SZJESZ04 -0.3937360 0.0065536 -60.080 < 2e-16 ***
DESTIN_SZJESZ05 -0.9748291 0.0097665 -99.814 < 2e-16 ***
DESTIN_SZJESZ06 0.3642736 0.0040600 89.722 < 2e-16 ***
DESTIN_SZJESZ07 -1.1571882 0.0081557 -141.887 < 2e-16 ***
DESTIN_SZJESZ08 -0.5955747 0.0078071 -76.286 < 2e-16 ***
DESTIN_SZJESZ09 -0.3629500 0.0053966 -67.256 < 2e-16 ***
DESTIN_SZJESZ10 0.7691552 0.0069348 110.912 < 2e-16 ***
DESTIN_SZJESZ11 0.9365743 0.0065801 142.335 < 2e-16 ***
DESTIN_SZJWSZ01 -0.4568805 0.0064536 -70.795 < 2e-16 ***
DESTIN_SZJWSZ02 -0.2880426 0.0051632 -55.788 < 2e-16 ***
DESTIN_SZJWSZ03 0.6680404 0.0039264 170.142 < 2e-16 ***
DESTIN_SZJWSZ04 0.9492158 0.0037186 255.262 < 2e-16 ***
DESTIN_SZJWSZ05 -0.1938053 0.0060810 -31.871 < 2e-16 ***
DESTIN_SZJWSZ06 0.3813164 0.0054551 69.900 < 2e-16 ***
DESTIN_SZJWSZ07 -1.2676010 0.0280038 -45.265 < 2e-16 ***
DESTIN_SZJWSZ08 0.5013149 0.0044573 112.471 < 2e-16 ***
DESTIN_SZJWSZ09 1.4161404 0.0033937 417.291 < 2e-16 ***
DESTIN_SZKLSZ01 -0.6909444 0.0051540 -134.059 < 2e-16 ***
DESTIN_SZKLSZ02 -0.8146023 0.0057129 -142.589 < 2e-16 ***
DESTIN_SZKLSZ03 -1.3956114 0.0065167 -214.161 < 2e-16 ***
DESTIN_SZKLSZ04 -1.9070281 0.0087370 -218.270 < 2e-16 ***
DESTIN_SZKLSZ05 -0.9293576 0.0071070 -130.766 < 2e-16 ***
DESTIN_SZKLSZ06 -2.5402234 0.0362062 -70.160 < 2e-16 ***
DESTIN_SZKLSZ07 -1.2017213 0.0065751 -182.769 < 2e-16 ***
DESTIN_SZKLSZ08 -0.6083433 0.0050916 -119.480 < 2e-16 ***
DESTIN_SZLKSZ01 -1.5186810 0.0204155 -74.389 < 2e-16 ***
DESTIN_SZMDSZ01 -1.4601772 0.0198347 -73.617 < 2e-16 ***
DESTIN_SZMDSZ02 -1.1554609 0.0111345 -103.773 < 2e-16 ***
DESTIN_SZMDSZ03 -2.9919337 0.0250838 -119.277 < 2e-16 ***
DESTIN_SZMPSZ01 -1.1705809 0.0077128 -151.771 < 2e-16 ***
DESTIN_SZMPSZ02 -0.9380957 0.0060321 -155.517 < 2e-16 ***
DESTIN_SZMPSZ03 -0.1761013 0.0046389 -37.962 < 2e-16 ***
DESTIN_SZMUSZ02 -2.4525115 0.0199630 -122.853 < 2e-16 ***
DESTIN_SZNTSZ01 -3.6605524 0.0447752 -81.754 < 2e-16 ***
DESTIN_SZNTSZ02 -2.0082021 0.0108736 -184.686 < 2e-16 ***
DESTIN_SZNTSZ03 -1.2387489 0.0076141 -162.691 < 2e-16 ***
DESTIN_SZNTSZ05 -1.8054361 0.0249540 -72.351 < 2e-16 ***
DESTIN_SZNTSZ06 -2.9500517 0.0428601 -68.830 < 2e-16 ***
DESTIN_SZNVSZ01 -0.4089022 0.0044288 -92.327 < 2e-16 ***
DESTIN_SZNVSZ02 -0.6865452 0.0052770 -130.102 < 2e-16 ***
DESTIN_SZNVSZ03 -0.7333670 0.0054243 -135.199 < 2e-16 ***
DESTIN_SZNVSZ04 -2.2095097 0.0106997 -206.503 < 2e-16 ***
DESTIN_SZNVSZ05 -1.8721104 0.0089058 -210.212 < 2e-16 ***
DESTIN_SZPGSZ01 -1.8756618 0.0153008 -122.586 < 2e-16 ***
DESTIN_SZPGSZ02 -0.9435337 0.0067224 -140.356 < 2e-16 ***
DESTIN_SZPGSZ03 0.3458476 0.0040152 86.134 < 2e-16 ***
DESTIN_SZPGSZ04 -0.0271485 0.0044805 -6.059 1.37e-09 ***
DESTIN_SZPGSZ05 -0.8920273 0.0070730 -126.117 < 2e-16 ***
DESTIN_SZPLSZ01 -0.2153087 0.0068270 -31.538 < 2e-16 ***
DESTIN_SZPLSZ02 -1.3646116 0.0131155 -104.046 < 2e-16 ***
DESTIN_SZPLSZ03 -0.0869245 0.0095838 -9.070 < 2e-16 ***
DESTIN_SZPLSZ04 -0.2574560 0.0093336 -27.584 < 2e-16 ***
DESTIN_SZPLSZ05 -0.7186364 0.0116835 -61.509 < 2e-16 ***
DESTIN_SZPNSZ01 1.1326963 0.0049977 226.643 < 2e-16 ***
DESTIN_SZPNSZ02 1.6516855 0.0064492 256.106 < 2e-16 ***
DESTIN_SZPNSZ03 0.8504093 0.0077034 110.394 < 2e-16 ***
DESTIN_SZPNSZ04 1.6891381 0.0075802 222.836 < 2e-16 ***
DESTIN_SZPNSZ05 0.7402750 0.0115948 63.845 < 2e-16 ***
DESTIN_SZPRSZ01 -1.0257636 0.0084652 -121.175 < 2e-16 ***
DESTIN_SZPRSZ02 -0.2028503 0.0049839 -40.701 < 2e-16 ***
DESTIN_SZPRSZ03 0.5560483 0.0038496 144.442 < 2e-16 ***
DESTIN_SZPRSZ04 -0.6824142 0.0079047 -86.330 < 2e-16 ***
DESTIN_SZPRSZ05 0.0316117 0.0044946 7.033 2.02e-12 ***
DESTIN_SZPRSZ06 0.3706283 0.0052006 71.267 < 2e-16 ***
DESTIN_SZPRSZ07 -1.4740460 0.0117304 -125.661 < 2e-16 ***
DESTIN_SZPRSZ08 -0.7869180 0.0064862 -121.321 < 2e-16 ***
DESTIN_SZQTSZ01 -1.2790095 0.0085392 -149.781 < 2e-16 ***
DESTIN_SZQTSZ02 -1.4989188 0.0073423 -204.149 < 2e-16 ***
DESTIN_SZQTSZ03 -0.9334132 0.0064035 -145.765 < 2e-16 ***
DESTIN_SZQTSZ04 -1.0506142 0.0065335 -160.805 < 2e-16 ***
DESTIN_SZQTSZ05 -0.9765013 0.0058471 -167.006 < 2e-16 ***
DESTIN_SZQTSZ06 -1.2206088 0.0063560 -192.042 < 2e-16 ***
DESTIN_SZQTSZ07 -1.6794007 0.0108727 -154.460 < 2e-16 ***
DESTIN_SZQTSZ08 -0.1214413 0.0047980 -25.311 < 2e-16 ***
DESTIN_SZQTSZ09 -0.5252607 0.0057371 -91.555 < 2e-16 ***
DESTIN_SZQTSZ10 -0.5981644 0.0054192 -110.378 < 2e-16 ***
DESTIN_SZQTSZ11 -0.0766021 0.0053446 -14.333 < 2e-16 ***
DESTIN_SZQTSZ12 -0.6153017 0.0070680 -87.054 < 2e-16 ***
DESTIN_SZQTSZ13 -0.1690535 0.0051315 -32.944 < 2e-16 ***
DESTIN_SZQTSZ14 -0.5398362 0.0062233 -86.744 < 2e-16 ***
DESTIN_SZQTSZ15 -0.1873015 0.0073132 -25.611 < 2e-16 ***
DESTIN_SZRCSZ01 -0.5875494 0.0071798 -81.833 < 2e-16 ***
DESTIN_SZRCSZ06 -2.0856090 0.0188789 -110.473 < 2e-16 ***
DESTIN_SZRVSZ01 -2.6183708 0.0162319 -161.310 < 2e-16 ***
DESTIN_SZRVSZ02 -3.1882190 0.0326141 -97.756 < 2e-16 ***
DESTIN_SZRVSZ03 -2.5981974 0.0135074 -192.353 < 2e-16 ***
DESTIN_SZRVSZ04 -1.9741504 0.0154961 -127.396 < 2e-16 ***
DESTIN_SZRVSZ05 -3.1547734 0.0256310 -123.084 < 2e-16 ***
DESTIN_SZSBSZ01 -0.3097949 0.0060601 -51.121 < 2e-16 ***
DESTIN_SZSBSZ02 -1.1229132 0.0076338 -147.097 < 2e-16 ***
DESTIN_SZSBSZ03 0.6289715 0.0041400 151.926 < 2e-16 ***
DESTIN_SZSBSZ04 0.1419430 0.0051357 27.638 < 2e-16 ***
DESTIN_SZSBSZ05 -0.9256413 0.0071963 -128.628 < 2e-16 ***
DESTIN_SZSBSZ06 -2.3487368 0.0221611 -105.984 < 2e-16 ***
DESTIN_SZSBSZ07 -0.7864630 0.0181706 -43.282 < 2e-16 ***
DESTIN_SZSBSZ08 1.3240051 0.0051598 256.599 < 2e-16 ***
DESTIN_SZSBSZ09 0.8431156 0.0048330 174.449 < 2e-16 ***
DESTIN_SZSESZ02 -0.2385874 0.0046618 -51.180 < 2e-16 ***
DESTIN_SZSESZ03 0.5439188 0.0036932 147.276 < 2e-16 ***
DESTIN_SZSESZ04 -0.6715716 0.0054222 -123.856 < 2e-16 ***
DESTIN_SZSESZ05 -0.3601932 0.0047508 -75.818 < 2e-16 ***
DESTIN_SZSESZ06 -0.6088413 0.0057017 -106.782 < 2e-16 ***
DESTIN_SZSESZ07 -2.9477507 0.0226797 -129.973 < 2e-16 ***
DESTIN_SZSGSZ01 -0.5100640 0.0058280 -87.519 < 2e-16 ***
DESTIN_SZSGSZ02 -0.0439941 0.0051633 -8.520 < 2e-16 ***
DESTIN_SZSGSZ03 -0.3700648 0.0047152 -78.483 < 2e-16 ***
DESTIN_SZSGSZ04 -0.3021335 0.0046865 -64.468 < 2e-16 ***
DESTIN_SZSGSZ05 -2.2253287 0.0097908 -227.288 < 2e-16 ***
DESTIN_SZSGSZ06 0.2963602 0.0037948 78.097 < 2e-16 ***
DESTIN_SZSGSZ07 -0.5940373 0.0051371 -115.637 < 2e-16 ***
DESTIN_SZSISZ01 -1.4528976 0.0257790 -56.360 < 2e-16 ***
DESTIN_SZSKSZ01 -0.0374952 0.0066885 -5.606 2.07e-08 ***
DESTIN_SZSKSZ02 0.7271418 0.0050281 144.617 < 2e-16 ***
DESTIN_SZSKSZ03 -0.0640794 0.0059146 -10.834 < 2e-16 ***
DESTIN_SZSKSZ04 -0.5610767 0.0139676 -40.170 < 2e-16 ***
DESTIN_SZSKSZ05 0.1510974 0.0104871 14.408 < 2e-16 ***
DESTIN_SZSLSZ01 -0.5823031 0.0083356 -69.858 < 2e-16 ***
DESTIN_SZSLSZ04 -0.8166665 0.0070329 -116.122 < 2e-16 ***
DESTIN_SZSRSZ01 -2.3241796 0.0127215 -182.696 < 2e-16 ***
DESTIN_SZTHSZ01 -2.8157635 0.0366840 -76.757 < 2e-16 ***
DESTIN_SZTHSZ03 -2.1005978 0.0250842 -83.742 < 2e-16 ***
DESTIN_SZTHSZ04 -2.1246250 0.0213690 -99.425 < 2e-16 ***
DESTIN_SZTHSZ06 -1.4571092 0.0150031 -97.121 < 2e-16 ***
DESTIN_SZTMSZ01 -0.1234559 0.0055152 -22.385 < 2e-16 ***
DESTIN_SZTMSZ02 1.5961628 0.0032599 489.635 < 2e-16 ***
DESTIN_SZTMSZ03 0.6977233 0.0037138 187.875 < 2e-16 ***
DESTIN_SZTMSZ04 0.8606606 0.0037592 228.947 < 2e-16 ***
DESTIN_SZTMSZ05 0.3750655 0.0051281 73.140 < 2e-16 ***
DESTIN_SZTNSZ01 -1.2624562 0.0066979 -188.485 < 2e-16 ***
DESTIN_SZTNSZ02 -2.0761581 0.0096538 -215.062 < 2e-16 ***
DESTIN_SZTNSZ03 -2.1128125 0.0115717 -182.584 < 2e-16 ***
DESTIN_SZTNSZ04 -1.2417494 0.0068502 -181.271 < 2e-16 ***
DESTIN_SZTPSZ01 -0.7094356 0.0055768 -127.211 < 2e-16 ***
DESTIN_SZTPSZ02 0.1491604 0.0037260 40.032 < 2e-16 ***
DESTIN_SZTPSZ03 -0.4973355 0.0054878 -90.626 < 2e-16 ***
DESTIN_SZTPSZ04 -1.5160395 0.0071592 -211.761 < 2e-16 ***
DESTIN_SZTPSZ05 -0.9196565 0.0056750 -162.054 < 2e-16 ***
DESTIN_SZTPSZ06 -0.2710649 0.0062637 -43.276 < 2e-16 ***
DESTIN_SZTPSZ07 -2.0198681 0.0116556 -173.296 < 2e-16 ***
DESTIN_SZTPSZ08 -1.4881412 0.0085532 -173.987 < 2e-16 ***
DESTIN_SZTPSZ09 -0.5901273 0.0059394 -99.358 < 2e-16 ***
DESTIN_SZTPSZ10 -1.1215711 0.0084488 -132.749 < 2e-16 ***
DESTIN_SZTPSZ11 -0.4837089 0.0050905 -95.022 < 2e-16 ***
DESTIN_SZTPSZ12 -0.8653927 0.0061326 -141.113 < 2e-16 ***
DESTIN_SZTSSZ01 -0.5515103 0.0208541 -26.446 < 2e-16 ***
DESTIN_SZTSSZ02 0.8373778 0.0093757 89.314 < 2e-16 ***
DESTIN_SZTSSZ03 1.7021888 0.0064394 264.340 < 2e-16 ***
DESTIN_SZTSSZ04 1.5355016 0.0067855 226.292 < 2e-16 ***
DESTIN_SZTSSZ05 1.6932319 0.0073725 229.668 < 2e-16 ***
DESTIN_SZTSSZ06 0.4567808 0.0137927 33.118 < 2e-16 ***
DESTIN_SZWCSZ01 1.3967640 0.0045392 307.711 < 2e-16 ***
DESTIN_SZWCSZ02 -0.4560229 0.0122949 -37.090 < 2e-16 ***
DESTIN_SZWCSZ03 -2.0710051 0.0325121 -63.699 < 2e-16 ***
DESTIN_SZWDSZ01 1.5137342 0.0034774 435.310 < 2e-16 ***
DESTIN_SZWDSZ02 -0.3005475 0.0055149 -54.497 < 2e-16 ***
DESTIN_SZWDSZ03 1.2514543 0.0036112 346.550 < 2e-16 ***
DESTIN_SZWDSZ04 -0.1702528 0.0058295 -29.205 < 2e-16 ***
DESTIN_SZWDSZ05 -0.0005419 0.0053911 -0.101 0.91994
DESTIN_SZWDSZ06 0.5203361 0.0040318 129.058 < 2e-16 ***
DESTIN_SZWDSZ07 0.6006472 0.0061745 97.279 < 2e-16 ***
DESTIN_SZWDSZ08 0.6650867 0.0060867 109.268 < 2e-16 ***
DESTIN_SZWDSZ09 0.6237312 0.0044830 139.132 < 2e-16 ***
DESTIN_SZYSSZ01 1.0471638 0.0038255 273.732 < 2e-16 ***
DESTIN_SZYSSZ02 0.2341114 0.0048213 48.558 < 2e-16 ***
DESTIN_SZYSSZ03 -0.0916446 0.0051335 -17.852 < 2e-16 ***
DESTIN_SZYSSZ04 -0.0085536 0.0048684 -1.757 0.07892 .
DESTIN_SZYSSZ05 -1.5775071 0.0100297 -157.283 < 2e-16 ***
DESTIN_SZYSSZ06 -1.8130307 0.0098617 -183.846 < 2e-16 ***
DESTIN_SZYSSZ07 -1.1703963 0.0111525 -104.945 < 2e-16 ***
DESTIN_SZYSSZ08 0.5253514 0.0039556 132.813 < 2e-16 ***
DESTIN_SZYSSZ09 0.4353435 0.0038890 111.943 < 2e-16 ***
log(ORIGIN_AGE25_64) 0.2249135 0.0001404 1602.353 < 2e-16 ***
log(dist) -0.6989356 0.0001287 -5431.279 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 60796037 on 14733 degrees of freedom
Residual deviance: 26208384 on 14452 degrees of freedom
AIC: 26300575
Number of Fisher Scoring iterations: 7We can compute for the R-squared with the following
CalcRSquared(decSIM$data$TRIPS, decSIM$fitted.values)[1] 0.4972985Doubly constrained SIM
The code chunk below calibrates a doubly constrained SIM
dbcSIM <- glm(formula = TRIPS ~
ORIGIN_SZ +
DESTIN_SZ +
log(dist),
family = poisson(link = "log"),
data = SIM_data,
na.action = na.exclude)
summary(dbcSIM)
Call:
glm(formula = TRIPS ~ ORIGIN_SZ + DESTIN_SZ + log(dist), family = poisson(link = "log"),
data = SIM_data, na.action = na.exclude)
Coefficients:
Estimate Std. Error z value Pr(>|z|)
(Intercept) 12.4165310 0.0043949 2825.242 < 2e-16 ***
ORIGIN_SZAMSZ02 0.9496891 0.0045740 207.630 < 2e-16 ***
ORIGIN_SZAMSZ03 0.5519174 0.0046672 118.253 < 2e-16 ***
ORIGIN_SZAMSZ04 0.1028140 0.0052468 19.596 < 2e-16 ***
ORIGIN_SZAMSZ05 0.0822549 0.0058663 14.022 < 2e-16 ***
ORIGIN_SZAMSZ06 0.6617809 0.0052580 125.861 < 2e-16 ***
ORIGIN_SZAMSZ07 -0.9508298 0.0097681 -97.340 < 2e-16 ***
ORIGIN_SZAMSZ08 -0.7271779 0.0090946 -79.958 < 2e-16 ***
ORIGIN_SZAMSZ09 0.4896781 0.0055203 88.704 < 2e-16 ***
ORIGIN_SZAMSZ10 0.4819428 0.0048175 100.040 < 2e-16 ***
ORIGIN_SZAMSZ11 -1.7719841 0.0130695 -135.582 < 2e-16 ***
ORIGIN_SZAMSZ12 -1.7679107 0.0108777 -162.526 < 2e-16 ***
ORIGIN_SZBDSZ01 0.8314812 0.0045187 184.010 < 2e-16 ***
ORIGIN_SZBDSZ02 0.4305836 0.0052535 81.961 < 2e-16 ***
ORIGIN_SZBDSZ03 0.8009370 0.0046384 172.676 < 2e-16 ***
ORIGIN_SZBDSZ04 1.4562985 0.0040456 359.971 < 2e-16 ***
ORIGIN_SZBDSZ05 0.4501939 0.0046960 95.867 < 2e-16 ***
ORIGIN_SZBDSZ06 0.7745026 0.0047424 163.314 < 2e-16 ***
ORIGIN_SZBDSZ07 -1.1784123 0.0098105 -120.117 < 2e-16 ***
ORIGIN_SZBDSZ08 -0.9830996 0.0091135 -107.873 < 2e-16 ***
ORIGIN_SZBKSZ01 -0.3042966 0.0067086 -45.359 < 2e-16 ***
ORIGIN_SZBKSZ02 0.4801541 0.0054160 88.655 < 2e-16 ***
ORIGIN_SZBKSZ03 0.7823931 0.0052007 150.440 < 2e-16 ***
ORIGIN_SZBKSZ04 -0.1292545 0.0061735 -20.937 < 2e-16 ***
ORIGIN_SZBKSZ05 -0.0258584 0.0060192 -4.296 1.74e-05 ***
ORIGIN_SZBKSZ06 0.1994719 0.0061206 32.590 < 2e-16 ***
ORIGIN_SZBKSZ07 0.7434860 0.0046598 159.553 < 2e-16 ***
ORIGIN_SZBKSZ08 0.1625007 0.0055219 29.428 < 2e-16 ***
ORIGIN_SZBKSZ09 -0.0864293 0.0059533 -14.518 < 2e-16 ***
ORIGIN_SZBLSZ01 -2.1022485 0.0150316 -139.855 < 2e-16 ***
ORIGIN_SZBLSZ02 -2.9460181 0.0195760 -150.491 < 2e-16 ***
ORIGIN_SZBLSZ03 -4.9412872 0.0398540 -123.985 < 2e-16 ***
ORIGIN_SZBLSZ04 -2.8143593 0.0239209 -117.653 < 2e-16 ***
ORIGIN_SZBMSZ01 -0.0264561 0.0053639 -4.932 8.13e-07 ***
ORIGIN_SZBMSZ02 -0.8656513 0.0068511 -126.353 < 2e-16 ***
ORIGIN_SZBMSZ03 -0.1723467 0.0059613 -28.911 < 2e-16 ***
ORIGIN_SZBMSZ04 0.2169844 0.0053578 40.499 < 2e-16 ***
ORIGIN_SZBMSZ05 -2.0252956 0.0126107 -160.602 < 2e-16 ***
ORIGIN_SZBMSZ06 -1.7642018 0.0163931 -107.619 < 2e-16 ***
ORIGIN_SZBMSZ07 -0.3271629 0.0058137 -56.274 < 2e-16 ***
ORIGIN_SZBMSZ08 -0.2533255 0.0059335 -42.694 < 2e-16 ***
ORIGIN_SZBMSZ09 -0.7712635 0.0087939 -87.704 < 2e-16 ***
ORIGIN_SZBMSZ10 -1.0098048 0.0092519 -109.145 < 2e-16 ***
ORIGIN_SZBMSZ11 -0.3816187 0.0067302 -56.702 < 2e-16 ***
ORIGIN_SZBMSZ12 -0.6666616 0.0095680 -69.676 < 2e-16 ***
ORIGIN_SZBMSZ13 -0.0076108 0.0059040 -1.289 0.19737
ORIGIN_SZBMSZ14 -0.1682476 0.0069391 -24.246 < 2e-16 ***
ORIGIN_SZBMSZ15 0.0904585 0.0062822 14.399 < 2e-16 ***
ORIGIN_SZBMSZ16 -1.1808741 0.0092258 -127.997 < 2e-16 ***
ORIGIN_SZBMSZ17 -1.7189127 0.0158408 -108.512 < 2e-16 ***
ORIGIN_SZBPSZ01 0.4294645 0.0058051 73.980 < 2e-16 ***
ORIGIN_SZBPSZ02 0.5028906 0.0068169 73.771 < 2e-16 ***
ORIGIN_SZBPSZ03 0.6656178 0.0066126 100.658 < 2e-16 ***
ORIGIN_SZBPSZ04 0.5203612 0.0053224 97.769 < 2e-16 ***
ORIGIN_SZBPSZ05 0.5377769 0.0047907 112.256 < 2e-16 ***
ORIGIN_SZBPSZ06 -1.2327809 0.0094950 -129.835 < 2e-16 ***
ORIGIN_SZBPSZ07 -0.9035255 0.0088739 -101.818 < 2e-16 ***
ORIGIN_SZBSSZ01 0.1210027 0.0053990 22.412 < 2e-16 ***
ORIGIN_SZBSSZ02 0.4618449 0.0048641 94.951 < 2e-16 ***
ORIGIN_SZBSSZ03 0.2160739 0.0047835 45.170 < 2e-16 ***
ORIGIN_SZBTSZ01 -0.1108042 0.0055599 -19.929 < 2e-16 ***
ORIGIN_SZBTSZ02 -0.8911221 0.0079213 -112.498 < 2e-16 ***
ORIGIN_SZBTSZ03 -0.2203980 0.0059325 -37.151 < 2e-16 ***
ORIGIN_SZBTSZ04 -0.6427946 0.0105438 -60.964 < 2e-16 ***
ORIGIN_SZBTSZ05 -1.4662312 0.0111784 -131.166 < 2e-16 ***
ORIGIN_SZBTSZ06 -0.6105884 0.0073456 -83.123 < 2e-16 ***
ORIGIN_SZBTSZ07 -1.9041317 0.0132781 -143.404 < 2e-16 ***
ORIGIN_SZBTSZ08 -1.0627939 0.0095982 -110.728 < 2e-16 ***
ORIGIN_SZCBSZ01 -2.9365941 0.0548632 -53.526 < 2e-16 ***
ORIGIN_SZCCSZ01 -1.5313555 0.0134599 -113.772 < 2e-16 ***
ORIGIN_SZCHSZ01 -1.2034494 0.0119468 -100.734 < 2e-16 ***
ORIGIN_SZCHSZ02 -0.8299415 0.0081984 -101.232 < 2e-16 ***
ORIGIN_SZCHSZ03 -0.5143946 0.0061944 -83.042 < 2e-16 ***
ORIGIN_SZCKSZ01 0.2372583 0.0053612 44.255 < 2e-16 ***
ORIGIN_SZCKSZ02 0.9124836 0.0054472 167.515 < 2e-16 ***
ORIGIN_SZCKSZ03 0.7237808 0.0048401 149.539 < 2e-16 ***
ORIGIN_SZCKSZ04 1.6884022 0.0050169 336.540 < 2e-16 ***
ORIGIN_SZCKSZ05 1.3932005 0.0062346 223.464 < 2e-16 ***
ORIGIN_SZCKSZ06 1.0670053 0.0066112 161.394 < 2e-16 ***
ORIGIN_SZCLSZ01 -0.8602837 0.0079240 -108.567 < 2e-16 ***
ORIGIN_SZCLSZ02 -1.3853421 0.0137444 -100.793 < 2e-16 ***
ORIGIN_SZCLSZ03 -0.8582608 0.0081177 -105.727 < 2e-16 ***
ORIGIN_SZCLSZ04 0.7836027 0.0046427 168.782 < 2e-16 ***
ORIGIN_SZCLSZ05 -1.8121756 0.0148960 -121.655 < 2e-16 ***
ORIGIN_SZCLSZ06 0.8296870 0.0043909 188.955 < 2e-16 ***
ORIGIN_SZCLSZ07 -0.2325219 0.0057432 -40.487 < 2e-16 ***
ORIGIN_SZCLSZ08 0.2714336 0.0062625 43.342 < 2e-16 ***
ORIGIN_SZCLSZ09 -2.2223744 0.0160946 -138.082 < 2e-16 ***
ORIGIN_SZDTSZ02 -4.0704970 0.0834192 -48.796 < 2e-16 ***
ORIGIN_SZDTSZ03 -3.4529031 0.0738295 -46.769 < 2e-16 ***
ORIGIN_SZDTSZ13 -2.8301983 0.0313085 -90.397 < 2e-16 ***
ORIGIN_SZGLSZ01 -1.4674986 0.0093137 -157.563 < 2e-16 ***
ORIGIN_SZGLSZ02 0.2749369 0.0050051 54.931 < 2e-16 ***
ORIGIN_SZGLSZ03 0.0781954 0.0049748 15.718 < 2e-16 ***
ORIGIN_SZGLSZ04 0.8167797 0.0043260 188.808 < 2e-16 ***
ORIGIN_SZGLSZ05 0.5277509 0.0044879 117.595 < 2e-16 ***
ORIGIN_SZHGSZ01 0.2323885 0.0048555 47.861 < 2e-16 ***
ORIGIN_SZHGSZ02 0.5707182 0.0048256 118.268 < 2e-16 ***
ORIGIN_SZHGSZ03 0.4231170 0.0052149 81.136 < 2e-16 ***
ORIGIN_SZHGSZ04 0.9341168 0.0044128 211.681 < 2e-16 ***
ORIGIN_SZHGSZ05 1.2192790 0.0043790 278.437 < 2e-16 ***
ORIGIN_SZHGSZ06 0.0490041 0.0054961 8.916 < 2e-16 ***
ORIGIN_SZHGSZ07 0.6337041 0.0045735 138.559 < 2e-16 ***
ORIGIN_SZHGSZ08 0.0312612 0.0054684 5.717 1.09e-08 ***
ORIGIN_SZHGSZ09 -0.6985397 0.0071800 -97.289 < 2e-16 ***
ORIGIN_SZHGSZ10 -2.9958967 0.0422303 -70.942 < 2e-16 ***
ORIGIN_SZJESZ01 0.4363431 0.0051329 85.010 < 2e-16 ***
ORIGIN_SZJESZ02 0.3460900 0.0051372 67.370 < 2e-16 ***
ORIGIN_SZJESZ03 0.2928005 0.0055108 53.132 < 2e-16 ***
ORIGIN_SZJESZ04 -1.1924298 0.0093540 -127.478 < 2e-16 ***
ORIGIN_SZJESZ05 -2.0178136 0.0139479 -144.668 < 2e-16 ***
ORIGIN_SZJESZ06 0.1637633 0.0050685 32.310 < 2e-16 ***
ORIGIN_SZJESZ07 -1.8227460 0.0119383 -152.680 < 2e-16 ***
ORIGIN_SZJESZ08 -1.1556281 0.0117870 -98.043 < 2e-16 ***
ORIGIN_SZJESZ09 0.4766229 0.0052813 90.248 < 2e-16 ***
ORIGIN_SZJESZ10 -2.6868992 0.0186864 -143.789 < 2e-16 ***
ORIGIN_SZJESZ11 -3.0618150 0.0199755 -153.278 < 2e-16 ***
ORIGIN_SZJWSZ01 0.4417418 0.0068611 64.383 < 2e-16 ***
ORIGIN_SZJWSZ02 0.9738087 0.0047905 203.281 < 2e-16 ***
ORIGIN_SZJWSZ03 1.1548028 0.0045180 255.599 < 2e-16 ***
ORIGIN_SZJWSZ04 0.9078417 0.0046668 194.532 < 2e-16 ***
ORIGIN_SZJWSZ05 -1.7092500 0.0127422 -134.141 < 2e-16 ***
ORIGIN_SZJWSZ06 -1.3284287 0.0109785 -121.002 < 2e-16 ***
ORIGIN_SZJWSZ07 -2.3231549 0.0281427 -82.549 < 2e-16 ***
ORIGIN_SZJWSZ08 1.9386127 0.0046041 421.059 < 2e-16 ***
ORIGIN_SZJWSZ09 1.3987549 0.0042610 328.266 < 2e-16 ***
ORIGIN_SZKLSZ01 0.2617735 0.0050089 52.261 < 2e-16 ***
ORIGIN_SZKLSZ02 -0.4325093 0.0064279 -67.286 < 2e-16 ***
ORIGIN_SZKLSZ03 -0.2787173 0.0060380 -46.161 < 2e-16 ***
ORIGIN_SZKLSZ04 -1.9432693 0.0119163 -163.076 < 2e-16 ***
ORIGIN_SZKLSZ05 -0.5420067 0.0085529 -63.371 < 2e-16 ***
ORIGIN_SZKLSZ06 -4.2949009 0.1857686 -23.120 < 2e-16 ***
ORIGIN_SZKLSZ07 -0.8576946 0.0085178 -100.694 < 2e-16 ***
ORIGIN_SZKLSZ08 -1.3840925 0.0092323 -149.918 < 2e-16 ***
ORIGIN_SZLKSZ01 -2.8108510 0.0392356 -71.640 < 2e-16 ***
ORIGIN_SZMDSZ01 -1.6745388 0.0296543 -56.469 < 2e-16 ***
ORIGIN_SZMDSZ02 -0.8193738 0.0106631 -76.842 < 2e-16 ***
ORIGIN_SZMDSZ03 -1.5088267 0.0172032 -87.706 < 2e-16 ***
ORIGIN_SZMPSZ01 -0.9860154 0.0085053 -115.929 < 2e-16 ***
ORIGIN_SZMPSZ02 -0.5958875 0.0070097 -85.008 < 2e-16 ***
ORIGIN_SZMPSZ03 -0.0490122 0.0054582 -8.980 < 2e-16 ***
ORIGIN_SZMUSZ02 -3.5233367 0.1037749 -33.952 < 2e-16 ***
ORIGIN_SZNTSZ01 -2.6451541 0.0353125 -74.907 < 2e-16 ***
ORIGIN_SZNTSZ02 -2.7710546 0.0232841 -119.011 < 2e-16 ***
ORIGIN_SZNTSZ03 -0.6123404 0.0079083 -77.430 < 2e-16 ***
ORIGIN_SZNTSZ05 -2.9257445 0.0496704 -58.903 < 2e-16 ***
ORIGIN_SZNTSZ06 -3.3260031 0.0557966 -59.609 < 2e-16 ***
ORIGIN_SZNVSZ01 0.6421306 0.0046037 139.482 < 2e-16 ***
ORIGIN_SZNVSZ02 -0.4251550 0.0065890 -64.525 < 2e-16 ***
ORIGIN_SZNVSZ03 -1.0765622 0.0078766 -136.679 < 2e-16 ***
ORIGIN_SZNVSZ04 -1.2289504 0.0091468 -134.358 < 2e-16 ***
ORIGIN_SZNVSZ05 -2.3551389 0.0158219 -148.853 < 2e-16 ***
ORIGIN_SZPGSZ01 0.1518212 0.0154825 9.806 < 2e-16 ***
ORIGIN_SZPGSZ02 -0.4062609 0.0073780 -55.064 < 2e-16 ***
ORIGIN_SZPGSZ03 0.8976913 0.0046122 194.636 < 2e-16 ***
ORIGIN_SZPGSZ04 1.1161685 0.0045850 243.437 < 2e-16 ***
ORIGIN_SZPGSZ05 0.4794249 0.0060213 79.621 < 2e-16 ***
ORIGIN_SZPLSZ01 -0.8322377 0.0107898 -77.132 < 2e-16 ***
ORIGIN_SZPLSZ02 -1.2968937 0.0149841 -86.551 < 2e-16 ***
ORIGIN_SZPLSZ03 -3.2744991 0.0374541 -87.427 < 2e-16 ***
ORIGIN_SZPLSZ04 -3.5423615 0.0372570 -95.079 < 2e-16 ***
ORIGIN_SZPLSZ05 -2.4343705 0.0227807 -106.861 < 2e-16 ***
ORIGIN_SZPNSZ01 0.8052461 0.0056124 143.476 < 2e-16 ***
ORIGIN_SZPNSZ02 -1.8042362 0.0128222 -140.712 < 2e-16 ***
ORIGIN_SZPNSZ03 -2.6363996 0.0200058 -131.782 < 2e-16 ***
ORIGIN_SZPNSZ04 -4.8427070 0.0320126 -151.275 < 2e-16 ***
ORIGIN_SZPNSZ05 -3.6613775 0.0285686 -128.161 < 2e-16 ***
ORIGIN_SZPRSZ01 -0.5645384 0.0117126 -48.199 < 2e-16 ***
ORIGIN_SZPRSZ02 0.9145886 0.0048137 189.998 < 2e-16 ***
ORIGIN_SZPRSZ03 0.4478971 0.0048102 93.113 < 2e-16 ***
ORIGIN_SZPRSZ04 -0.5312444 0.0079019 -67.230 < 2e-16 ***
ORIGIN_SZPRSZ05 1.1462662 0.0045250 253.318 < 2e-16 ***
ORIGIN_SZPRSZ06 -0.7392744 0.0090347 -81.826 < 2e-16 ***
ORIGIN_SZPRSZ07 -2.1667862 0.0162528 -133.318 < 2e-16 ***
ORIGIN_SZPRSZ08 -0.1327079 0.0065712 -20.195 < 2e-16 ***
ORIGIN_SZQTSZ01 0.1062151 0.0071538 14.847 < 2e-16 ***
ORIGIN_SZQTSZ02 -0.4993990 0.0064382 -77.568 < 2e-16 ***
ORIGIN_SZQTSZ03 0.1161844 0.0058822 19.752 < 2e-16 ***
ORIGIN_SZQTSZ04 -0.8102612 0.0072742 -111.389 < 2e-16 ***
ORIGIN_SZQTSZ05 -0.0417272 0.0061917 -6.739 1.59e-11 ***
ORIGIN_SZQTSZ06 -0.2521417 0.0066449 -37.945 < 2e-16 ***
ORIGIN_SZQTSZ07 -1.2395975 0.0097496 -127.143 < 2e-16 ***
ORIGIN_SZQTSZ08 -0.1105467 0.0059364 -18.622 < 2e-16 ***
ORIGIN_SZQTSZ09 -0.5078461 0.0067895 -74.798 < 2e-16 ***
ORIGIN_SZQTSZ10 -0.3866593 0.0066995 -57.714 < 2e-16 ***
ORIGIN_SZQTSZ11 -1.5264609 0.0099770 -152.998 < 2e-16 ***
ORIGIN_SZQTSZ12 -1.3866518 0.0106887 -129.730 < 2e-16 ***
ORIGIN_SZQTSZ13 -0.3764286 0.0066707 -56.430 < 2e-16 ***
ORIGIN_SZQTSZ14 -1.4907399 0.0100120 -148.896 < 2e-16 ***
ORIGIN_SZQTSZ15 -1.0552239 0.0108792 -96.994 < 2e-16 ***
ORIGIN_SZRCSZ01 -1.3136074 0.0126986 -103.445 < 2e-16 ***
ORIGIN_SZRCSZ06 -0.2418276 0.0085509 -28.281 < 2e-16 ***
ORIGIN_SZRVSZ01 -2.9263747 0.0324968 -90.051 < 2e-16 ***
ORIGIN_SZRVSZ02 -2.2980940 0.0278202 -82.605 < 2e-16 ***
ORIGIN_SZRVSZ03 -2.4663765 0.0238674 -103.336 < 2e-16 ***
ORIGIN_SZRVSZ04 -3.1853677 0.0556939 -57.194 < 2e-16 ***
ORIGIN_SZRVSZ05 -1.5695490 0.0166684 -94.163 < 2e-16 ***
ORIGIN_SZSBSZ01 0.7674590 0.0061811 124.163 < 2e-16 ***
ORIGIN_SZSBSZ02 -0.7307279 0.0084105 -86.883 < 2e-16 ***
ORIGIN_SZSBSZ03 0.5920074 0.0050167 118.008 < 2e-16 ***
ORIGIN_SZSBSZ04 0.3684857 0.0058575 62.908 < 2e-16 ***
ORIGIN_SZSBSZ05 -0.0036863 0.0068459 -0.538 0.59026
ORIGIN_SZSBSZ06 -1.1939284 0.0181541 -65.766 < 2e-16 ***
ORIGIN_SZSBSZ07 -0.4896579 0.0135618 -36.106 < 2e-16 ***
ORIGIN_SZSBSZ08 -2.1221691 0.0127258 -166.762 < 2e-16 ***
ORIGIN_SZSBSZ09 -1.2032410 0.0089611 -134.273 < 2e-16 ***
ORIGIN_SZSESZ02 1.0721820 0.0045336 236.498 < 2e-16 ***
ORIGIN_SZSESZ03 1.0808012 0.0042923 251.801 < 2e-16 ***
ORIGIN_SZSESZ04 1.0137448 0.0050668 200.076 < 2e-16 ***
ORIGIN_SZSESZ05 -0.1678679 0.0060206 -27.882 < 2e-16 ***
ORIGIN_SZSESZ06 0.9165834 0.0048323 189.677 < 2e-16 ***
ORIGIN_SZSESZ07 -2.2499789 0.0196327 -114.603 < 2e-16 ***
ORIGIN_SZSGSZ01 -0.9369800 0.0087282 -107.351 < 2e-16 ***
ORIGIN_SZSGSZ02 -1.1690716 0.0097131 -120.360 < 2e-16 ***
ORIGIN_SZSGSZ03 0.2604352 0.0052709 49.410 < 2e-16 ***
ORIGIN_SZSGSZ04 0.3468823 0.0048897 70.942 < 2e-16 ***
ORIGIN_SZSGSZ05 -1.5927797 0.0106308 -149.827 < 2e-16 ***
ORIGIN_SZSGSZ06 0.3605651 0.0046361 77.774 < 2e-16 ***
ORIGIN_SZSGSZ07 -0.5333873 0.0063119 -84.504 < 2e-16 ***
ORIGIN_SZSKSZ01 -0.2706750 0.0082836 -32.676 < 2e-16 ***
ORIGIN_SZSKSZ02 0.0970953 0.0063378 15.320 < 2e-16 ***
ORIGIN_SZSKSZ03 -0.6954342 0.0082538 -84.256 < 2e-16 ***
ORIGIN_SZSKSZ04 -2.3863580 0.0284607 -83.847 < 2e-16 ***
ORIGIN_SZSKSZ05 -1.5443140 0.0179059 -86.246 < 2e-16 ***
ORIGIN_SZSLSZ01 -2.9450656 0.0307283 -95.842 < 2e-16 ***
ORIGIN_SZSLSZ04 -0.5739349 0.0077851 -73.722 < 2e-16 ***
ORIGIN_SZSRSZ01 -1.6136735 0.0160199 -100.729 < 2e-16 ***
ORIGIN_SZTHSZ01 -2.6034976 0.0489378 -53.200 < 2e-16 ***
ORIGIN_SZTHSZ03 -1.2770601 0.0229815 -55.569 < 2e-16 ***
ORIGIN_SZTHSZ04 -2.0110399 0.0287527 -69.943 < 2e-16 ***
ORIGIN_SZTHSZ06 -1.7720116 0.0180394 -98.230 < 2e-16 ***
ORIGIN_SZTMSZ01 0.1254729 0.0060924 20.595 < 2e-16 ***
ORIGIN_SZTMSZ02 1.6667504 0.0039836 418.403 < 2e-16 ***
ORIGIN_SZTMSZ03 1.0941176 0.0042911 254.976 < 2e-16 ***
ORIGIN_SZTMSZ04 0.3209520 0.0050349 63.746 < 2e-16 ***
ORIGIN_SZTMSZ05 -0.8155124 0.0079342 -102.785 < 2e-16 ***
ORIGIN_SZTNSZ01 -1.4237298 0.0104636 -136.064 < 2e-16 ***
ORIGIN_SZTNSZ02 -1.2718890 0.0098660 -128.916 < 2e-16 ***
ORIGIN_SZTNSZ03 -1.7960517 0.0134675 -133.362 < 2e-16 ***
ORIGIN_SZTNSZ04 -0.3508142 0.0073556 -47.694 < 2e-16 ***
ORIGIN_SZTPSZ01 -0.3841699 0.0064137 -59.898 < 2e-16 ***
ORIGIN_SZTPSZ02 0.5315265 0.0044497 119.451 < 2e-16 ***
ORIGIN_SZTPSZ03 -0.4669723 0.0062160 -75.124 < 2e-16 ***
ORIGIN_SZTPSZ04 -0.0617169 0.0058830 -10.491 < 2e-16 ***
ORIGIN_SZTPSZ05 0.0713309 0.0062133 11.480 < 2e-16 ***
ORIGIN_SZTPSZ06 0.6800356 0.0069456 97.909 < 2e-16 ***
ORIGIN_SZTPSZ07 -0.0432782 0.0064382 -6.722 1.79e-11 ***
ORIGIN_SZTPSZ08 -0.6976429 0.0092416 -75.490 < 2e-16 ***
ORIGIN_SZTPSZ09 -0.3708833 0.0063548 -58.363 < 2e-16 ***
ORIGIN_SZTPSZ10 -0.4063575 0.0077803 -52.229 < 2e-16 ***
ORIGIN_SZTPSZ11 0.1040282 0.0056115 18.538 < 2e-16 ***
ORIGIN_SZTPSZ12 -0.5104672 0.0066261 -77.039 < 2e-16 ***
ORIGIN_SZTSSZ01 -3.5036830 0.0487290 -71.901 < 2e-16 ***
ORIGIN_SZTSSZ02 -0.0386819 0.0094886 -4.077 4.57e-05 ***
ORIGIN_SZTSSZ03 -0.3862387 0.0095139 -40.597 < 2e-16 ***
ORIGIN_SZTSSZ04 -0.6380676 0.0099905 -63.867 < 2e-16 ***
ORIGIN_SZTSSZ05 -2.7354613 0.0162414 -168.425 < 2e-16 ***
ORIGIN_SZTSSZ06 -2.6310865 0.0255772 -102.868 < 2e-16 ***
ORIGIN_SZWCSZ01 -1.1561047 0.0087394 -132.286 < 2e-16 ***
ORIGIN_SZWCSZ02 -2.6956217 0.0319117 -84.471 < 2e-16 ***
ORIGIN_SZWCSZ03 -4.3526889 0.1241082 -35.072 < 2e-16 ***
ORIGIN_SZWDSZ01 0.8712417 0.0043720 199.277 < 2e-16 ***
ORIGIN_SZWDSZ02 0.9119539 0.0050326 181.210 < 2e-16 ***
ORIGIN_SZWDSZ03 1.6205678 0.0045250 358.136 < 2e-16 ***
ORIGIN_SZWDSZ04 1.2081941 0.0054272 222.618 < 2e-16 ***
ORIGIN_SZWDSZ05 0.4284783 0.0052752 81.224 < 2e-16 ***
ORIGIN_SZWDSZ06 0.9018716 0.0049820 181.028 < 2e-16 ***
ORIGIN_SZWDSZ07 -0.6444820 0.0084731 -76.062 < 2e-16 ***
ORIGIN_SZWDSZ08 -0.8764983 0.0082622 -106.085 < 2e-16 ***
ORIGIN_SZWDSZ09 1.3292589 0.0048663 273.158 < 2e-16 ***
ORIGIN_SZYSSZ01 -0.4780462 0.0058489 -81.733 < 2e-16 ***
ORIGIN_SZYSSZ02 0.9323419 0.0054402 171.380 < 2e-16 ***
ORIGIN_SZYSSZ03 2.0577240 0.0046737 440.274 < 2e-16 ***
ORIGIN_SZYSSZ04 0.8697472 0.0047269 184.000 < 2e-16 ***
ORIGIN_SZYSSZ05 0.1662764 0.0060376 27.540 < 2e-16 ***
ORIGIN_SZYSSZ06 -0.8115617 0.0109084 -74.398 < 2e-16 ***
ORIGIN_SZYSSZ07 -0.8971248 0.0119220 -75.250 < 2e-16 ***
ORIGIN_SZYSSZ08 -0.2738680 0.0063553 -43.093 < 2e-16 ***
ORIGIN_SZYSSZ09 1.2274518 0.0044951 273.066 < 2e-16 ***
DESTIN_SZAMSZ02 -0.0516322 0.0042829 -12.055 < 2e-16 ***
DESTIN_SZAMSZ03 0.0801823 0.0041904 19.135 < 2e-16 ***
DESTIN_SZAMSZ04 -0.9282211 0.0061322 -151.368 < 2e-16 ***
DESTIN_SZAMSZ05 -1.0794168 0.0062543 -172.588 < 2e-16 ***
DESTIN_SZAMSZ06 -0.8839603 0.0060851 -145.267 < 2e-16 ***
DESTIN_SZAMSZ07 -1.5835093 0.0096846 -163.508 < 2e-16 ***
DESTIN_SZAMSZ08 -0.9756903 0.0068829 -141.756 < 2e-16 ***
DESTIN_SZAMSZ09 -1.0362692 0.0061651 -168.087 < 2e-16 ***
DESTIN_SZAMSZ10 -0.1227646 0.0044788 -27.410 < 2e-16 ***
DESTIN_SZAMSZ11 -0.4802374 0.0088108 -54.506 < 2e-16 ***
DESTIN_SZAMSZ12 0.2142621 0.0050653 42.300 < 2e-16 ***
DESTIN_SZBDSZ01 0.3582789 0.0039578 90.524 < 2e-16 ***
DESTIN_SZBDSZ02 -0.4368229 0.0051384 -85.012 < 2e-16 ***
DESTIN_SZBDSZ03 -0.1568727 0.0044329 -35.388 < 2e-16 ***
DESTIN_SZBDSZ04 0.6731669 0.0036215 185.882 < 2e-16 ***
DESTIN_SZBDSZ05 0.3647198 0.0040496 90.062 < 2e-16 ***
DESTIN_SZBDSZ06 0.0589240 0.0044352 13.286 < 2e-16 ***
DESTIN_SZBDSZ07 -0.6648168 0.0095742 -69.438 < 2e-16 ***
DESTIN_SZBDSZ08 -1.7214136 0.0106600 -161.483 < 2e-16 ***
DESTIN_SZBKSZ01 -1.2688264 0.0067263 -188.637 < 2e-16 ***
DESTIN_SZBKSZ02 -0.3912129 0.0055446 -70.558 < 2e-16 ***
DESTIN_SZBKSZ03 -0.8663392 0.0058693 -147.605 < 2e-16 ***
DESTIN_SZBKSZ04 -0.1247273 0.0051254 -24.335 < 2e-16 ***
DESTIN_SZBKSZ05 -0.7407774 0.0059120 -125.300 < 2e-16 ***
DESTIN_SZBKSZ06 -0.9934643 0.0063345 -156.834 < 2e-16 ***
DESTIN_SZBKSZ07 0.0882230 0.0042928 20.551 < 2e-16 ***
DESTIN_SZBKSZ08 -1.1134447 0.0070752 -157.372 < 2e-16 ***
DESTIN_SZBKSZ09 -0.1788171 0.0051327 -34.839 < 2e-16 ***
DESTIN_SZBLSZ01 -0.7696433 0.0071898 -107.047 < 2e-16 ***
DESTIN_SZBLSZ02 0.4076650 0.0068001 59.950 < 2e-16 ***
DESTIN_SZBLSZ03 1.5398488 0.0078230 196.836 < 2e-16 ***
DESTIN_SZBLSZ04 -0.3499486 0.0136985 -25.546 < 2e-16 ***
DESTIN_SZBMSZ01 -0.2114705 0.0048311 -43.773 < 2e-16 ***
DESTIN_SZBMSZ02 -0.3316806 0.0049958 -66.391 < 2e-16 ***
DESTIN_SZBMSZ03 -0.5134774 0.0058534 -87.723 < 2e-16 ***
DESTIN_SZBMSZ04 -0.2205274 0.0051028 -43.217 < 2e-16 ***
DESTIN_SZBMSZ05 -0.2101165 0.0067710 -31.032 < 2e-16 ***
DESTIN_SZBMSZ06 -1.3832385 0.0124821 -110.818 < 2e-16 ***
DESTIN_SZBMSZ07 -0.0133462 0.0046787 -2.853 0.00434 **
DESTIN_SZBMSZ08 -0.9056756 0.0063868 -141.805 < 2e-16 ***
DESTIN_SZBMSZ09 -2.3175407 0.0144523 -160.358 < 2e-16 ***
DESTIN_SZBMSZ10 -1.3973725 0.0090463 -154.470 < 2e-16 ***
DESTIN_SZBMSZ11 -1.3950206 0.0080459 -173.383 < 2e-16 ***
DESTIN_SZBMSZ12 -0.6882789 0.0081539 -84.411 < 2e-16 ***
DESTIN_SZBMSZ13 -0.2729120 0.0052969 -51.523 < 2e-16 ***
DESTIN_SZBMSZ14 -0.7581980 0.0080215 -94.521 < 2e-16 ***
DESTIN_SZBMSZ15 -0.9323237 0.0071093 -131.142 < 2e-16 ***
DESTIN_SZBMSZ16 -2.0655530 0.0108490 -190.391 < 2e-16 ***
DESTIN_SZBMSZ17 -2.5124893 0.0165366 -151.935 < 2e-16 ***
DESTIN_SZBPSZ01 -0.8203274 0.0057682 -142.216 < 2e-16 ***
DESTIN_SZBPSZ02 -1.5284265 0.0087447 -174.783 < 2e-16 ***
DESTIN_SZBPSZ03 -1.2434382 0.0080852 -153.792 < 2e-16 ***
DESTIN_SZBPSZ04 -0.7778558 0.0060900 -127.727 < 2e-16 ***
DESTIN_SZBPSZ05 0.1782204 0.0042331 42.101 < 2e-16 ***
DESTIN_SZBPSZ06 -0.6758807 0.0079728 -84.773 < 2e-16 ***
DESTIN_SZBPSZ07 -0.5029450 0.0081151 -61.976 < 2e-16 ***
DESTIN_SZBSSZ01 -0.1269916 0.0046949 -27.049 < 2e-16 ***
DESTIN_SZBSSZ02 -0.7536917 0.0051895 -145.233 < 2e-16 ***
DESTIN_SZBSSZ03 0.2747969 0.0039115 70.254 < 2e-16 ***
DESTIN_SZBTSZ01 0.1708577 0.0043381 39.385 < 2e-16 ***
DESTIN_SZBTSZ02 -0.6820190 0.0067243 -101.427 < 2e-16 ***
DESTIN_SZBTSZ03 0.0610599 0.0049825 12.255 < 2e-16 ***
DESTIN_SZBTSZ04 -1.3199639 0.0107063 -123.288 < 2e-16 ***
DESTIN_SZBTSZ05 -0.4174991 0.0069221 -60.314 < 2e-16 ***
DESTIN_SZBTSZ06 -0.5260242 0.0061145 -86.029 < 2e-16 ***
DESTIN_SZBTSZ07 -1.6678047 0.0106335 -156.844 < 2e-16 ***
DESTIN_SZBTSZ08 -0.7999935 0.0089175 -89.711 < 2e-16 ***
DESTIN_SZCBSZ01 -5.6321332 0.3162476 -17.809 < 2e-16 ***
DESTIN_SZCCSZ01 -0.9342781 0.0081409 -114.763 < 2e-16 ***
DESTIN_SZCHSZ01 -1.2808546 0.0096774 -132.355 < 2e-16 ***
DESTIN_SZCHSZ02 0.0067332 0.0054322 1.239 0.21516
DESTIN_SZCHSZ03 1.0988838 0.0041378 265.570 < 2e-16 ***
DESTIN_SZCKSZ01 -0.3192235 0.0050632 -63.048 < 2e-16 ***
DESTIN_SZCKSZ02 -0.7776453 0.0055279 -140.676 < 2e-16 ***
DESTIN_SZCKSZ03 0.2772358 0.0042541 65.170 < 2e-16 ***
DESTIN_SZCKSZ04 -1.3842048 0.0065159 -212.436 < 2e-16 ***
DESTIN_SZCKSZ05 -1.2051808 0.0076814 -156.897 < 2e-16 ***
DESTIN_SZCKSZ06 0.1321955 0.0061568 21.472 < 2e-16 ***
DESTIN_SZCLSZ01 0.1942449 0.0049977 38.867 < 2e-16 ***
DESTIN_SZCLSZ02 -2.0828648 0.0134597 -154.749 < 2e-16 ***
DESTIN_SZCLSZ03 -0.8823728 0.0078307 -112.681 < 2e-16 ***
DESTIN_SZCLSZ04 -0.2311432 0.0047194 -48.977 < 2e-16 ***
DESTIN_SZCLSZ05 -1.0113430 0.0085536 -118.237 < 2e-16 ***
DESTIN_SZCLSZ06 0.0694682 0.0042166 16.475 < 2e-16 ***
DESTIN_SZCLSZ07 -0.4953961 0.0054184 -91.429 < 2e-16 ***
DESTIN_SZCLSZ08 -0.3849563 0.0061404 -62.693 < 2e-16 ***
DESTIN_SZCLSZ09 0.4201808 0.0067112 62.609 < 2e-16 ***
DESTIN_SZDTSZ02 -2.6513032 0.0348725 -76.029 < 2e-16 ***
DESTIN_SZDTSZ03 -1.5192228 0.0144477 -105.153 < 2e-16 ***
DESTIN_SZDTSZ13 -2.2041951 0.0161726 -136.292 < 2e-16 ***
DESTIN_SZGLSZ01 -0.0139744 0.0052464 -2.664 0.00773 **
DESTIN_SZGLSZ02 -0.2850816 0.0047467 -60.059 < 2e-16 ***
DESTIN_SZGLSZ03 0.3511872 0.0039473 88.969 < 2e-16 ***
DESTIN_SZGLSZ04 0.2909117 0.0039436 73.769 < 2e-16 ***
DESTIN_SZGLSZ05 0.1845361 0.0040011 46.121 < 2e-16 ***
DESTIN_SZHGSZ01 0.1418382 0.0039875 35.571 < 2e-16 ***
DESTIN_SZHGSZ02 -0.7233151 0.0052374 -138.105 < 2e-16 ***
DESTIN_SZHGSZ03 -1.1918463 0.0062129 -191.834 < 2e-16 ***
DESTIN_SZHGSZ04 -0.4380360 0.0044839 -97.691 < 2e-16 ***
DESTIN_SZHGSZ05 -0.5671024 0.0046427 -122.149 < 2e-16 ***
DESTIN_SZHGSZ06 -0.8271411 0.0054935 -150.566 < 2e-16 ***
DESTIN_SZHGSZ07 0.0721800 0.0041589 17.356 < 2e-16 ***
DESTIN_SZHGSZ08 -0.4297429 0.0050021 -85.913 < 2e-16 ***
DESTIN_SZHGSZ09 -0.2085461 0.0052544 -39.690 < 2e-16 ***
DESTIN_SZHGSZ10 -2.9169699 0.0262698 -111.039 < 2e-16 ***
DESTIN_SZJESZ01 -0.2822473 0.0051166 -55.163 < 2e-16 ***
DESTIN_SZJESZ02 -0.6761389 0.0053635 -126.063 < 2e-16 ***
DESTIN_SZJESZ03 -0.7371756 0.0058983 -124.980 < 2e-16 ***
DESTIN_SZJESZ04 -0.4593491 0.0067970 -67.581 < 2e-16 ***
DESTIN_SZJESZ05 -1.1418012 0.0099049 -115.277 < 2e-16 ***
DESTIN_SZJESZ06 0.1759680 0.0042791 41.123 < 2e-16 ***
DESTIN_SZJESZ07 -1.2260587 0.0082714 -148.229 < 2e-16 ***
DESTIN_SZJESZ08 -0.8547001 0.0080417 -106.283 < 2e-16 ***
DESTIN_SZJESZ09 -0.4306353 0.0057006 -75.542 < 2e-16 ***
DESTIN_SZJESZ10 0.6584971 0.0073664 89.392 < 2e-16 ***
DESTIN_SZJESZ11 0.9661208 0.0070491 137.056 < 2e-16 ***
DESTIN_SZJWSZ01 -0.9128436 0.0069529 -131.290 < 2e-16 ***
DESTIN_SZJWSZ02 -0.7285851 0.0054839 -132.859 < 2e-16 ***
DESTIN_SZJWSZ03 0.2601455 0.0043215 60.198 < 2e-16 ***
DESTIN_SZJWSZ04 0.6860274 0.0041135 166.775 < 2e-16 ***
DESTIN_SZJWSZ05 -0.4684576 0.0062875 -74.506 < 2e-16 ***
DESTIN_SZJWSZ06 -0.2459774 0.0057575 -42.723 < 2e-16 ***
DESTIN_SZJWSZ07 -1.8854234 0.0287721 -65.529 < 2e-16 ***
DESTIN_SZJWSZ08 -0.5523308 0.0051054 -108.186 < 2e-16 ***
DESTIN_SZJWSZ09 0.8818747 0.0037800 233.301 < 2e-16 ***
DESTIN_SZKLSZ01 -0.5814386 0.0052711 -110.308 < 2e-16 ***
DESTIN_SZKLSZ02 -0.7090577 0.0058161 -121.914 < 2e-16 ***
DESTIN_SZKLSZ03 -1.2191910 0.0065984 -184.772 < 2e-16 ***
DESTIN_SZKLSZ04 -1.6961428 0.0087866 -193.038 < 2e-16 ***
DESTIN_SZKLSZ05 -0.6927144 0.0073574 -94.153 < 2e-16 ***
DESTIN_SZKLSZ06 -2.2967464 0.0362605 -63.340 < 2e-16 ***
DESTIN_SZKLSZ07 -0.9536980 0.0066777 -142.819 < 2e-16 ***
DESTIN_SZKLSZ08 -0.4565596 0.0051736 -88.249 < 2e-16 ***
DESTIN_SZLKSZ01 -1.7277135 0.0207336 -83.329 < 2e-16 ***
DESTIN_SZMDSZ01 -1.7155417 0.0210080 -81.661 < 2e-16 ***
DESTIN_SZMDSZ02 -1.3694928 0.0114174 -119.948 < 2e-16 ***
DESTIN_SZMDSZ03 -2.7183729 0.0252678 -107.582 < 2e-16 ***
DESTIN_SZMPSZ01 -0.8051991 0.0078564 -102.490 < 2e-16 ***
DESTIN_SZMPSZ02 -0.7627000 0.0061386 -124.246 < 2e-16 ***
DESTIN_SZMPSZ03 -0.0649484 0.0047787 -13.591 < 2e-16 ***
DESTIN_SZMUSZ02 -1.9549128 0.0200160 -97.667 < 2e-16 ***
DESTIN_SZNTSZ01 -3.3048398 0.0448053 -73.760 < 2e-16 ***
DESTIN_SZNTSZ02 -1.6454847 0.0109337 -150.497 < 2e-16 ***
DESTIN_SZNTSZ03 -1.1389723 0.0077396 -147.161 < 2e-16 ***
DESTIN_SZNTSZ05 -2.0264109 0.0250226 -80.983 < 2e-16 ***
DESTIN_SZNTSZ06 -3.3496282 0.0428989 -78.082 < 2e-16 ***
DESTIN_SZNVSZ01 -0.3407614 0.0045493 -74.905 < 2e-16 ***
DESTIN_SZNVSZ02 -0.4987695 0.0053942 -92.465 < 2e-16 ***
DESTIN_SZNVSZ03 -0.4936107 0.0055158 -89.491 < 2e-16 ***
DESTIN_SZNVSZ04 -1.9141281 0.0107557 -177.964 < 2e-16 ***
DESTIN_SZNVSZ05 -1.5378263 0.0089577 -171.677 < 2e-16 ***
DESTIN_SZPGSZ01 -1.7744485 0.0194346 -91.304 < 2e-16 ***
DESTIN_SZPGSZ02 -0.9282918 0.0069006 -134.523 < 2e-16 ***
DESTIN_SZPGSZ03 0.0885025 0.0042145 21.000 < 2e-16 ***
DESTIN_SZPGSZ04 -0.3879375 0.0046862 -82.784 < 2e-16 ***
DESTIN_SZPGSZ05 -0.9649873 0.0074625 -129.311 < 2e-16 ***
DESTIN_SZPLSZ01 -0.6159175 0.0070845 -86.939 < 2e-16 ***
DESTIN_SZPLSZ02 -1.7551386 0.0133081 -131.885 < 2e-16 ***
DESTIN_SZPLSZ03 -0.1378379 0.0098704 -13.965 < 2e-16 ***
DESTIN_SZPLSZ04 -0.1411200 0.0096446 -14.632 < 2e-16 ***
DESTIN_SZPLSZ05 -0.8483196 0.0119048 -71.259 < 2e-16 ***
DESTIN_SZPNSZ01 -0.1579087 0.0057330 -27.544 < 2e-16 ***
DESTIN_SZPNSZ02 1.0243480 0.0076680 133.587 < 2e-16 ***
DESTIN_SZPNSZ03 0.0451598 0.0081444 5.545 2.94e-08 ***
DESTIN_SZPNSZ04 1.8941928 0.0087479 216.530 < 2e-16 ***
DESTIN_SZPNSZ05 1.0341581 0.0130830 79.046 < 2e-16 ***
DESTIN_SZPRSZ01 -1.4038513 0.0086911 -161.527 < 2e-16 ***
DESTIN_SZPRSZ02 -0.4942539 0.0052403 -94.319 < 2e-16 ***
DESTIN_SZPRSZ03 0.4219510 0.0040281 104.751 < 2e-16 ***
DESTIN_SZPRSZ04 -0.4841099 0.0083498 -57.979 < 2e-16 ***
DESTIN_SZPRSZ05 -0.2988481 0.0047512 -62.899 < 2e-16 ***
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DESTIN_SZYSSZ05 -1.7909654 0.0102064 -175.475 < 2e-16 ***
DESTIN_SZYSSZ06 -1.8519179 0.0099601 -185.933 < 2e-16 ***
DESTIN_SZYSSZ07 -0.9246626 0.0118101 -78.294 < 2e-16 ***
DESTIN_SZYSSZ08 0.4403129 0.0041268 106.697 < 2e-16 ***
DESTIN_SZYSSZ09 0.0267012 0.0041393 6.451 1.11e-10 ***
log(dist) -0.6721961 0.0001353 -4969.566 < 2e-16 ***
---
Signif. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1
(Dispersion parameter for poisson family taken to be 1)
Null deviance: 60796037 on 14733 degrees of freedom
Residual deviance: 20988409 on 14175 degrees of freedom
AIC: 21081154
Number of Fisher Scoring iterations: 7We can compute for the R-squared using the following
CalcRSquared(dbcSIM$data$TRIPS, dbcSIM$fitted.values)[1] 0.5739638Model comparison
Model performance can also be measured using the RMSE or root mean square error. We can use the performance package to compare different models’ performance using metrics like RMSE
First, we create an object containing the models to be compared
model_list <- list(unconstrained=uncSIM,
originConstrained=orcSIM,
destinationConstrained=decSIM,
doublyConstrained=dbcSIM)Next, we compute for the RMSE for the models and show the results
compare_performance(model_list,
metrics = "RMSE")# Comparison of Model Performance Indices
Name | Model | RMSE
-----------------------------------------
unconstrained | glm | 4288.012
originConstrained | glm | 3659.954
destinationConstrained | glm | 3389.556
doublyConstrained | glm | 3252.297The output shows that the doubly constrained model has the best performance using RMSE as it has the lowest value among the four
Visualizing fitted values
In this last section, we learn to visualize the fitted versus the actual values
Forst, we need to extract the fitted values of the unconstrained model
df <- as.data.frame(uncSIM$fitted.values) %>%
round(digits = 0)Next, we join this with the object SIM_data
SIM_data <- SIM_data %>%
cbind(df) %>%
rename(uncTRIPS = "uncSIM$fitted.values")We repeat the same for every model.
df <- as.data.frame(orcSIM$fitted.values) %>%
round(digits = 0)
SIM_data <- SIM_data %>%
cbind(df) %>%
rename(orcTRIPS = "orcSIM$fitted.values")df <- as.data.frame(decSIM$fitted.values) %>%
round(digits = 0)
SIM_data <- SIM_data %>%
cbind(df) %>%
rename(decTRIPS = "decSIM$fitted.values")df <- as.data.frame(dbcSIM$fitted.values) %>%
round(digits = 0)
SIM_data <- SIM_data %>%
cbind(df) %>%
rename(dbcTRIPS = "dbcSIM$fitted.values")We then prepare the different plots and store them into separate objects
unc_p <- ggplot(data = SIM_data,
aes(x = uncTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
orc_p <- ggplot(data = SIM_data,
aes(x = orcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dec_p <- ggplot(data = SIM_data,
aes(x = decTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)
dbc_p <- ggplot(data = SIM_data,
aes(x = dbcTRIPS,
y = TRIPS)) +
geom_point() +
geom_smooth(method = lm)Next, we display the plots in a 2x2 grid so they can be easily compared against one another
ggarrange(unc_p, orc_p, dec_p, dbc_p,
ncol = 2,
nrow = 2)`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'
`geom_smooth()` using formula = 'y ~ x'